56268584100 has 81 divisors (see below), whose sum is σ = 176393059297. Its totient is φ = 15003058080.

The previous prime is 56268584081. The next prime is 56268584123. The reversal of 56268584100 is 148586265.

The square root of 56268584100 is 237210.

It is a perfect power (a square), and thus also a powerful number.

56268584100 is a `hidden beast` number, since 5 + 6 + 2 + 68 + 584 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20256690276 + 36011893824 = 142326^2 + 189768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7112347 + ... + 7120253.

Almost surely, 2^56268584100 is an apocalyptic number.

56268584100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56268584100 is the 237210-th square number.

It is an amenable number.

56268584100 is an abundant number, since it is smaller than the sum of its proper divisors (120124475197).

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

56268584100 is an equidigital number, since it uses as much as digits as its factorization.

56268584100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 56268584100 in words is "fifty-six billion, two hundred sixty-eight million, five hundred eighty-four thousand, one hundred".