256200157656 has 128 divisors (see below), whose sum is σ = 749540160000. Its totient is φ = 80860291200.

The previous prime is 256200157639. The next prime is 256200157723. The reversal of 256200157656 is 656751002652.

256200157656 is a `hidden beast` number, since 2 + 5 + 6 + 20 + 0 + 1 + 576 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7785285 + ... + 7818123.

It is an arithmetic number, because the mean of its divisors is an integer number (5855782500).

Almost surely, 2^256200157656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256200157656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374770080000).

256200157656 is an abundant number, since it is smaller than the sum of its proper divisors (493340002344).

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

256200157656 is a wasteful number, since it uses less digits than its factorization.

256200157656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34774 (or 34764 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 256200157656 in words is "two hundred fifty-six billion, two hundred million, one hundred fifty-seven thousand, six hundred fifty-six".