56920416400 has 135 divisors (see below), whose sum is σ = 139427562393. Its totient is φ = 22331088000.

The previous prime is 56920416389. The next prime is 56920416431. The reversal of 56920416400 is 461402965.

The square root of 56920416400 is 238580.

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., 20491349904 + 36429066496 = 143148^2 + 190864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56920416400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376956325 + ... + 376956475.

Almost surely, 2^56920416400 is an apocalyptic number.

56920416400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56920416400 is the 238580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56920416400

56920416400 is an abundant number, since it is smaller than the sum of its proper divisors (82507145993).

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

56920416400 is an equidigital number, since it uses as much as digits as its factorization.

56920416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 56920416400 in words is "fifty-six billion, nine hundred twenty million, four hundred sixteen thousand, four hundred".