256504892160 has 864 divisors, whose sum is σ = 946973099520. Its totient is φ = 58662912000.

The previous prime is 256504892131. The next prime is 256504892167. The reversal of 256504892160 is 61298405652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256504892167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882077396 + ... + 2882077484.

It is an arithmetic number, because the mean of its divisors is an integer number (1096033680).

Almost surely, 2^256504892160 is an apocalyptic number.

256504892160 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 256504892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473486549760).

256504892160 is an abundant number, since it is smaller than the sum of its proper divisors (690468207360).

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

256504892160 is a wasteful number, since it uses less digits than its factorization.

256504892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 256504892160 in words is "two hundred fifty-six billion, five hundred four million, eight hundred ninety-two thousand, one hundred sixty".