8100625272696 has 256 divisors, whose sum is σ = 24979276108800. Its totient is φ = 2442004899840.

The previous prime is 8100625272661. The next prime is 8100625272713. The reversal of 8100625272696 is 6962725260018.

8100625272696 is a `hidden beast` number, since 8 + 1 + 0 + 0 + 6 + 2 + 527 + 26 + 96 = 666.

It is a super-2 number, since 2×8100625272696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37034965 + ... + 37253051.

It is an arithmetic number, because the mean of its divisors is an integer number (97575297300).

Almost surely, 2^{8100625272696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8100625272696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489638054400).

8100625272696 is an abundant number, since it is smaller than the sum of its proper divisors (16878650836104).

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

8100625272696 is a wasteful number, since it uses less digits than its factorization.

8100625272696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218318 (or 218296 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8100625272696 in words is "eight trillion, one hundred billion, six hundred twenty-five million, two hundred seventy-two thousand, six hundred ninety-six".