56672563600 has 45 divisors (see below), whose sum is σ = 136167273793. Its totient is φ = 22667120960.

The previous prime is 56672563573. The next prime is 56672563637. The reversal of 56672563600 is 636527665.

The square root of 56672563600 is 238060.

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

It can be written as a sum of positive squares in only one way, i.e., 20402122896 + 36270440704 = 142836^2 + 190448^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4755249 + ... + 4767151.

Almost surely, 2^56672563600 is an apocalyptic number.

56672563600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56672563600 is the 238060-th square number.

It is an amenable number.

56672563600 is an abundant number, since it is smaller than the sum of its proper divisors (79494710193).

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

56672563600 is an frugal number, since it uses more digits than its factorization.

56672563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23824 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 56672563600 in words is "fifty-six billion, six hundred seventy-two million, five hundred sixty-three thousand, six hundred".