256565162400 has 144 divisors (see below), whose sum is σ = 879073423200. Its totient is φ = 64816450560.

The previous prime is 256565162387. The next prime is 256565162401. The reversal of 256565162400 is 4261565652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (256565162401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767615 + ... + 2858814.

It is an arithmetic number, because the mean of its divisors is an integer number (6104676550).

Almost surely, 2^256565162400 is an apocalyptic number.

256565162400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256565162400 is an abundant number, since it is smaller than the sum of its proper divisors (622508260800).

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

256565162400 is a wasteful number, since it uses less digits than its factorization.

256565162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626471 (or 5626458 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 256565162400 in words is "two hundred fifty-six billion, five hundred sixty-five million, one hundred sixty-two thousand, four hundred".