256578561764160 has 448 divisors, whose sum is σ = 864248790680064. Its totient is φ = 64354052505600.

The previous prime is 256578561764149. The next prime is 256578561764177. The reversal of 256578561764160 is 61467165875652.

256578561764160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4823150682 + ... + 4823203878.

Almost surely, 2^{256578561764160} is an apocalyptic number.

256578561764160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256578561764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432124395340032).

256578561764160 is an abundant number, since it is smaller than the sum of its proper divisors (607670228915904).

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

256578561764160 is a wasteful number, since it uses less digits than its factorization.

256578561764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56882 (or 56872 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 69.

The spelling of 256578561764160 in words is "two hundred fifty-six trillion, five hundred seventy-eight billion, five hundred sixty-one million, seven hundred sixty-four thousand, one hundred sixty".