256157589600 has 432 divisors, whose sum is σ = 1037260486080. Its totient is φ = 58830105600.

The previous prime is 256157589563. The next prime is 256157589613. The reversal of 256157589600 is 6985751652.

256157589600 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 57 + 589 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419687 + ... + 1589913.

It is an arithmetic number, because the mean of its divisors is an integer number (2401065940).

Almost surely, 2^256157589600 is an apocalyptic number.

256157589600 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 256157589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518630243040).

256157589600 is an abundant number, since it is smaller than the sum of its proper divisors (781102896480).

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

256157589600 is a wasteful number, since it uses less digits than its factorization.

256157589600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170283 (or 170267 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 256157589600 in words is "two hundred fifty-six billion, one hundred fifty-seven million, five hundred eighty-nine thousand, six hundred".