56624961600 has 315 divisors, whose sum is σ = 208454476791. Its totient is φ = 15077145600.

The previous prime is 56624961593. The next prime is 56624961629. The reversal of 56624961600 is 616942665.

The square root of 56624961600 is 237960.

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

56624961600 is a `hidden beast` number, since 5 + 6 + 6 + 24 + 9 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1666598976 + 54958362624 = 40824^2 + 234432^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85665270 + ... + 85665930.

Almost surely, 2^56624961600 is an apocalyptic number.

56624961600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56624961600 is the 237960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56624961600

56624961600 is an abundant number, since it is smaller than the sum of its proper divisors (151829515191).

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

56624961600 is an frugal number, since it uses more digits than its factorization.

56624961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56624961600 in words is "fifty-six billion, six hundred twenty-four million, nine hundred sixty-one thousand, six hundred".