8265165006400 has 189 divisors, whose sum is σ = 20857504147113. Its totient is φ = 3223590297600.

The previous prime is 8265165006353. The next prime is 8265165006409. The reversal of 8265165006400 is 46005615628.

The square root of 8265165006400 is 2874920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6102994739776 + 2162170266624 = 2470424^2 + 1470432^2 .

It is a super-2 number, since 2×8265165006400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8265165006409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4714867924 + ... + 4714869676.

Almost surely, 2^{8265165006400} is an apocalyptic number.

8265165006400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8265165006400 is the 2874920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8265165006400

8265165006400 is an abundant number, since it is smaller than the sum of its proper divisors (12592339140713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8265165006400 is an frugal number, since it uses more digits than its factorization.

8265165006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 8265165006400 in words is "eight trillion, two hundred sixty-five billion, one hundred sixty-five million, six thousand, four hundred".