10056902005728 has 96 divisors (see below), whose sum is σ = 29502184068000. Its totient is φ = 3332923158528.

The previous prime is 10056902005727. The next prime is 10056902005751. The reversal of 10056902005728 is 82750020965001.

10056902005728 is a `hidden beast` number, since 1 + 0 + 0 + 56 + 9 + 0 + 20 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10056902005728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056902005727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33491953 + ... + 33790896.

It is an arithmetic number, because the mean of its divisors is an integer number (307314417375).

Almost surely, 2^{10056902005728} is an apocalyptic number.

10056902005728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10056902005728 is an abundant number, since it is smaller than the sum of its proper divisors (19445282062272).

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

10056902005728 is a wasteful number, since it uses less digits than its factorization.

10056902005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67283041 (or 67283027 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10056902005728 in words is "ten trillion, fifty-six billion, nine hundred two million, five thousand, seven hundred twenty-eight".