256510117667360 has 48 divisors (see below), whose sum is σ = 614306593469016. Its totient is φ = 101198512171008.

The previous prime is 256510117667339. The next prime is 256510117667437. The reversal of 256510117667360 is 63766711015652.

It can be written as a sum of positive squares in 4 ways, for example, as 220469162025616 + 36040955641744 = 14848204^2 + 6003412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 256510117667296 and 256510117667305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10980729659 + ... + 10980753018.

Almost surely, 2^{256510117667360} is an apocalyptic number.

256510117667360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256510117667360 is an abundant number, since it is smaller than the sum of its proper divisors (357796475801656).

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

256510117667360 is a wasteful number, since it uses less digits than its factorization.

256510117667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21961482765 (or 21961482757 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 256510117667360 in words is "two hundred fifty-six trillion, five hundred ten billion, one hundred seventeen million, six hundred sixty-seven thousand, three hundred sixty".