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Largest empires by landmass
All empires
1. British Empire - 36.6 million km² [1] (under King George V in 1921) (excludes Antarctic territorial claims)
2. Mongol Empire - 33.2 million km² [1] (under Khublai Khan in 1279) (excludes Northern Siberia)
3. Russian Empire - 22.8 million km² [2] (under Alexander III in 1895)
4. Spanish Empire - 19 million km² [1] (under King Phillip II)
5. Arab Empire - 13.2 million km² [1] (under the Umayyad Caliph Al-Walid I)
6. Qing Empire - 12 million km² [3] (under Emperor Qianlong).
7. French Empire - 12 million km² [1]
8. Portuguese Empire - 10.4 million km² [1]
9. American Empire - 10 million km² [4] and)
10. Achaemenid Persian Empire - 7.5 million km² [5] (under Darius the Great)
11. Japanese Empire - 7.4 million km² [1] (during World War II)
12. Ming Empire - 6.5 million km² [2]
13. Han Empire - 6 million km² [2]
14. Ottoman Empire - 5.6 million km² [1]
15. Roman Empire - 5.6 million km² [1] (under Emperor Trajan)
16. Tang Empire - 5.4 million km² [2] (under Emperor Gaozong of Tang [6])
17. Macedonian Empire - 5.4 million km² [1] (under Alexander the Great)
18. Maurya Empire - 5 million km² [2] (under Ashoka the Great)
19. Mexican Empire - 4.7 millon km² [1]
20. Timurid Empire - 4.4 million km² [2]
21. Mughal Empire - 4 million km² [2]
22. Hunnic Empire - 4 million km² [2] (under Attila the Hun)
23. Seljuq Empire - 3.9 million km² [2]
24. Seleucid Empire - 3.9 million km² [1]
25. Italian Empire - 3.8 million km² (during World War II)
26. Dutch Empire - 3.7 million km² [1]
27. Nazi German Empire - 3.6 million km² [1] (during World War II)
28. Gupta Empire - 3.5 million km² [2] (under Chandragupta II)
29. Sassanid Persian Empire - 3.5 million km² [2] (under Khosrau I)
30. Ghaznavid Empire - 3.4 million km² [2]
31. Delhi Sultanate - 3.2 million km² [2]
32. Khazar Empire - 3 million km² [2]
33. Median Empire - 2.8 million km² [2]
34. Byzantine Empire - 2.7 million km² [2]
35. Chola Empire - 2.5 million km² [7] (under Rajendra Chola I)
36. Incan Empire - 2.0 million km²
37. Majapahit Empire - 1.5 million km² [8]
38. Neo-Assyrian Empire - 1.4 million km² [2]
39. Aksumite Empire - 1.3 million km² [2]
40. Srivijaya Empire - 1.2 million km² [2]
41. Frankish Empire - 1.2 million km² [2]
42. Harsha Empire - 1 million km² [2] (under Harsha Vardhana)
43. Egyptian Empire - 1 million km² [2]
44. Almoravid Empire - 1 million km² [2]
45. Khmer Empire - 1 million km² [2]
46. Akkadian Empire - 650,000 km² [9]
47. Pala Empire - 600,000 km² [10]
48. Nanda Empire - 600,000 km² [10]
49. Neo-Babylonian Empire - 500,000 km² [9]
50. Vijayanagara Empire - 360,000 km² [11]
Contiguous empires
1. Mongol Empire - 33.2 million km² (under Khublai Khan in 1279)
2. Russian Empire - 22.8 million km² (under Alexander III in 1895)
3. Arab Empire - 13.2 million km² (under the Umayyad Caliph Al-Walid I)
4. Qing Empire - 12 million km² (under Emperor Qianlong)
5. Achaemenid Persian Empire - 7.5 million km² (under Darius the Great)
6. Ming Empire - 6.5 million km²
7. Han Empire - 6 million km²
8. Ottoman Empire - 5.6 million km²
9. Roman Empire - 5.6 million km² (under Emperor Trajan)
10. Tang Empire - 5.4 million km²
11. Macedonian Empire - 5.4 million km² (under Alexander the Great)
12. Maurya Empire - 5 million km² (under Ashoka the Great)
13. Mughal Empire - 4 million km²
14. Hunnic Empire - 4 million km² (under Attila the Hun)
15. Seljuq Empire - 3.9 million km²
16. Seleucid Empire - 3.9 million km²
17. Nazi German Empire - 3.6 million km² (during World War II)
18. Gupta Empire - 3.5 million km² (under Chandragupta II)
19. Sassanid Persian Empire - 3.5 million km² (under Khosrau I)
20. Ghaznavid Empire - 3.4 million km²
21. Delhi Sultanate - 3.2 million km²
22. Khazar Empire - 3 million km²
23. Median Empire - 2.8 million km²
24. Byzantine Empire - 2.7 million km²
25. Incan Empire - 2.0 million km²
26. Neo-Assyrian Empire - 1.4 million km²
27. Aksumite Empire - 1.3 million km²
28. Frankish Empire - 1.2 million km²
29. Harsha Empire - 1 million km² (under Harsha Vardhana)
30. Egyptian Empire - 1 million km²
31. Almoravid Empire - 1 million km²
32. Khmer Empire - 1 million km²
33. Akkadian Empire - 650,000 km²
34. Pala Empire - 600,000 km²
35. Nanda Empire - 600,000 km²
36. Neo-Babylonian Empire - 500,000 km²
37. Vijayanagara Empire - 360,000 km²
Overseas empires
1. British Empire - 36.6 million km² (under King George V in 1921)
2. Spanish Empire - 19 million km² (under King Phillip II)
3. French Empire - 12 million km²
4. Portuguese Empire - 10.4 million km²
5. American Empire - 10 million km² and)
6. Japanese Empire - 7.4 million km² (during World War II)
7. Italian Empire - 3.8 million km² (during World War II)
8. Dutch Empire - 3.7 million km²
9. Chola Empire - 2.5 million km² (under Rajendra Chola I)
10. Majapahit Empire - 1.5 million km²
11. Srivijaya Empire - 1.2 million km²

Ancient empires
1. Achaemenid Persian Empire - 7.5 million km² (under Darius the Great)
2. Han Empire - 6 million km²
3. Roman Empire - 5.6 million km² (under Emperor Trajan)
4. Macedonian Empire - 5.4 million km² (under Alexander the Great)
5. Maurya Empire - 5 million km² (under Ashoka the Great)
6. Hunnic Empire - 4 million km² (under Attila the Hun)
7. Seleucid Empire - 3.9 million km²
8. Gupta Empire - 3.5 million km² (under Chandragupta II)
9. Sassanid Persian Empire - 3.5 million km² (under Khosrau I)
10. Median Empire - 2.8 million km²
11. Neo-Assyrian Empire - 1.4 million km²
12. Aksumite Empire - 1.3 million km²
13. Egyptian Empire - 1 million km²
14. Akkadian Empire - 650,000 km²
15. Nanda Empire - 600,000 km²
16. Neo-Babylonian Empire - 500,000 km²
Medieval empires
1. Mongol Empire - 33.2 million km² (under Khublai Khan in 1279)
2. Arab Empire - 13.2 million km² (under the Umayyad Caliph Al-Walid I)
3. Ming Empire - 6.5 million km²
4. Ottoman Empire - 5.6 million km²
5. Tang Empire - 5.4 million km²
6. Mughal Empire - 4 million km²
7. Seljuq Empire - 3.9 million km²
8. Sassanid Persian Empire - 3.5 million km² (under Khosrau I)
9. Ghaznavid Empire - 3.4 million km²
10. Delhi Sultanate - 3.2 million km²
11. Khazar Empire - 3 million km²
12. Byzantine Empire - 2.7 million km²
13. Chola Empire - 2.5 million km² (under Rajendra Chola I in 1030)
14. Incan Empire - 2.0 million km²
15. Majapahit Empire - 1.5 million km²
16. Aksumite/Ethiopian Empire - 1.3 million km²
17. Srivijaya Empire - 1.2 million km²
18. Frankish Empire - 1.2 million km²
19. Harsha Empire - 1 million km² (under Harsha Vardhana)
20. Almoravid Empire - 1 million km²
21. Khmer Empire - 1 million km²
22. Pala Empire - 600,000 km²
23. Vijayanagara Empire - 360,000 km²
Modern empires
1. British Empire - 36 million km² (under King George V in 1921)
2. Russian Empire - 22.8 million km² (under Alexander III in 1895)
3. Spanish Empire - 19 million km² (under Phillip II)
4. Qing Empire - 12 million km² (under Emperor Qianlong)
5. French Empire - 12 million km²
6. Portuguese Empire - 10.4 million km²
7. American Empire - 10 million km² and)
8. Japanese Empire - 7.4 million km² (during World War II)
9. Mughal Empire - 4 million km²
10. Italian Empire - 3.8 million km² (during World War II)
11. Dutch Empire - 3.7 million km²
12. Nazi German Empire - 3.6 million km² (during World War II)
Largest empires by population
Note: Population estimates are unknown for ancient empires not listed here.
Population size
1. British Empire - 531.3 million (in 1938) [12]
2. Qing Empire - 432 million (in 1912) [13]
3. Mughal Empire - 175 million (in 1700) [14]
4. Ming Empire - 160 million (in 1600) [13]
5. Russian Empire - 156.2 million (in 1913) [13]
6. American Empire - 146.4 million (in 1942) [12]
7. Japanese Empire - 134.8 million (in 1938) [12]
8. French Empire - 112.9 million (in 1938) [12]
9. Mongol Empire - 110 million (in the 13th century) [15]
10. Nazi German Empire - 75.4 million (in 1938) [12]
11. Spanish Empire - 68.2 million [16]
12. Arab Empire - 62 million (in the 7th century) [17]
13. Song Empire - 59 million (in 1000) [13]
14. Han Empire - 57.5 million (in 2 CE) [18]
15. Roman Empire - 55 million (in the 1st century CE) [19]
16. Italian Empire - 51.9 million (in 1938) [12]
17. Maurya Empire - 50 million (in the 2nd century BCE) [20]
18. Persian Empire - 42 million (in the 4th century BCE) [14]
19. Ottoman Empire - 39 million (in the 17th century) [21]
20. Vijayanagara Empire - 25 million (in the 16th century) [11]
Percentage of world population
1. Qing Empire - 36.6% (381 million out of 1041 million in 1820) [13]
2. Maurya Empire - 33.3% (50 million out of 150 million[22] in the 2nd century BCE)
3. Arab Empire - 29.5% (62 million out of 210 million[22] in the 7th century)
4. Mughal Empire - 29.2% (175 million out of 600 million[23] in 1700)
5. Ming Empire - 28.8% (160 million out of 556.2 million in 1600) [13]
6. Persian Empire - 27.6% (42 million out of 152 million in the 4th century BCE) [14]
7. Mongol Empire - 25.6% (110 million out of 429 million[14] in the 13th century)
8. British Empire - 25.6% (458 million[24] out of 1,791 million[13] in 1913)
9. Han Empire - 25.4% (57.5 million out of 226 million[13] in 2 CE)
10. Roman Empire - 24.4% (55 million out of 226 million[13] in the 1st century CE)
11. Song Empire - 22% (59 million out of 268 million in 1000) [13]
12. Gupta Empire - (around 20%)
13. Spanish Empire - 12.3% (68.2 million out of 556 million[13] in the 17th century)
14. Russian Empire - 8.7% (156.2 million out of 1,791 million in 1913) [13]
15. Ottoman Empire - 7.1% (39 million out of 556 million[13] in the 17th century)
16. American Empire - 6.4% (146.4 million out of 2,295 million in 1938)
17. Japanese Empire - 5.9% (134.8 million out of 2,295 million[13] in 1938)
18. Vijayanagara Empire - 5.7% (25 million out of 438 million[13] in the 16th century)
19. French Empire - 4.9% (112.9 million out of 2,295 million in 1938)
20. Nazi German Empire - 3.3% (75.4 million out of 2,295 million in 1938)
21. Italian Empire - 2.3% (51.9 million out of 2,295 million in 1938)
Source

some of those stats surprised me

Which ones?

Cool.