256959410688 has 240 divisors, whose sum is σ = 781833102336. Its totient is φ = 81124392960.

The previous prime is 256959410627. The next prime is 256959410699. The reversal of 256959410688 is 886014959652.

256959410688 is a `hidden beast` number, since 2 + 56 + 95 + 9 + 410 + 6 + 88 = 666.

It is a super-2 number, since 2×256959410688² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6694720 + ... + 6732992.

Almost surely, 2^256959410688 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 256959410688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390916551168).

256959410688 is an abundant number, since it is smaller than the sum of its proper divisors (524873691648).

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

256959410688 is a wasteful number, since it uses less digits than its factorization.

256959410688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38375 (or 38356 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 256959410688 in words is "two hundred fifty-six billion, nine hundred fifty-nine million, four hundred ten thousand, six hundred eighty-eight".