256957281360 has 960 divisors, whose sum is σ = 1020521349120. Its totient is φ = 57375682560.

The previous prime is 256957281337. The next prime is 256957281367. The reversal of 256957281360 is 63182759652.

256957281360 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 572 + 8 + 1 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 256957281297 and 256957281306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256957281367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 700155897 + ... + 700156263.

It is an arithmetic number, because the mean of its divisors is an integer number (1063043072).

Almost surely, 2^256957281360 is an apocalyptic number.

256957281360 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 256957281360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510260674560).

256957281360 is an abundant number, since it is smaller than the sum of its proper divisors (763564067760).

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

256957281360 is a wasteful number, since it uses less digits than its factorization.

256957281360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 256957281360 in words is "two hundred fifty-six billion, nine hundred fifty-seven million, two hundred eighty-one thousand, three hundred sixty".