10257880932864 has 200 divisors, whose sum is σ = 31948253663040. Its totient is φ = 3270628399104.

The previous prime is 10257880932863. The next prime is 10257880932917. The reversal of 10257880932864 is 46823908875201.

10257880932864 is a `hidden beast` number, since 10 + 257 + 8 + 8 + 0 + 93 + 286 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10257880932863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4423204 + ... + 6330915.

It is a 1-persistent number, because it is pandigital, but 2⋅10257880932864 = 20515761865728 is not.

Almost surely, 2^{10257880932864} is an apocalyptic number.

It is an amenable number.

10257880932864 is an abundant number, since it is smaller than the sum of its proper divisors (21690372730176).

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

10257880932864 is an equidigital number, since it uses as much as digits as its factorization.

10257880932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754172 (or 10754147 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 10257880932864 in words is "ten trillion, two hundred fifty-seven billion, eight hundred eighty million, nine hundred thirty-two thousand, eight hundred sixty-four".