56615443600 has 45 divisors (see below), whose sum is σ = 136030037227. Its totient is φ = 22644273920.

The previous prime is 56615443567. The next prime is 56615443609. The reversal of 56615443600 is 634451665.

The square root of 56615443600 is 237940.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16493751184 + 40121692416 = 128428^2 + 200304^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56615443609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4752852 + ... + 4764748.

Almost surely, 2^56615443600 is an apocalyptic number.

56615443600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56615443600 is the 237940-th square number.

It is an amenable number.

56615443600 is an abundant number, since it is smaller than the sum of its proper divisors (79414593627).

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

56615443600 is an frugal number, since it uses more digits than its factorization.

56615443600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 56615443600 in words is "fifty-six billion, six hundred fifteen million, four hundred forty-three thousand, six hundred".