256564920960 has 768 divisors, whose sum is σ = 959016240000. Its totient is φ = 65464713216.

The previous prime is 256564920943. The next prime is 256564920977. The reversal of 256564920960 is 69029465652.

256564920960 is a `hidden beast` number, since 2 + 5 + 65 + 6 + 492 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256564920943) and next prime (256564920977).

It is a super-2 number, since 2×256564920960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256564920897 and 256564920906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735142866 + ... + 735143214.

Almost surely, 2^256564920960 is an apocalyptic number.

256564920960 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 256564920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479508120000).

256564920960 is an abundant number, since it is smaller than the sum of its proper divisors (702451319040).

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

256564920960 is a wasteful number, since it uses less digits than its factorization.

256564920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 256564920960 in words is "two hundred fifty-six billion, five hundred sixty-four million, nine hundred twenty thousand, nine hundred sixty".