256081803264 has 240 divisors, whose sum is σ = 874172098800. Its totient is φ = 73165897728.

The previous prime is 256081803259. The next prime is 256081803277. The reversal of 256081803264 is 462308180652.

256081803264 is a `hidden beast` number, since 2 + 5 + 608 + 1 + 8 + 0 + 32 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1050952 + ... + 1271480.

It is an arithmetic number, because the mean of its divisors is an integer number (3642383745).

Almost surely, 2^256081803264 is an apocalyptic number.

256081803264 is a gapful number since it is divisible by the number (24) 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 256081803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437086049400).

256081803264 is an abundant number, since it is smaller than the sum of its proper divisors (618090295536).

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

256081803264 is an equidigital number, since it uses as much as digits as its factorization.

256081803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220570 (or 220541 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 256081803264 in words is "two hundred fifty-six billion, eighty-one million, eight hundred three thousand, two hundred sixty-four".