256507697300400 has 1920 divisors, whose sum is σ = 1164797981491200. Its totient is φ = 52153868390400.

The previous prime is 256507697300363. The next prime is 256507697300441. The reversal of 256507697300400 is 4003796705652.

256507697300400 is a `hidden beast` number, since 2 + 5 + 6 + 50 + 76 + 97 + 30 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7281547587 + ... + 7281582813.

It is an arithmetic number, because the mean of its divisors is an integer number (606665615360).

Almost surely, 2^{256507697300400} is an apocalyptic number.

256507697300400 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 256507697300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582398990745600).

256507697300400 is an abundant number, since it is smaller than the sum of its proper divisors (908290284190800).

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

256507697300400 is a wasteful number, since it uses less digits than its factorization.

256507697300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35544 (or 35527 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 256507697300400 in words is "two hundred fifty-six trillion, five hundred seven billion, six hundred ninety-seven million, three hundred thousand, four hundred".