56492961792400 has 405 divisors, whose sum is σ = 162377771100867. Its totient is φ = 18832540608000.

The previous prime is 56492961792389. The next prime is 56492961792481. The reversal of 56492961792400 is 429716929465.

The square root of 56492961792400 is 7516180.

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 5362911113616 + 51130050678784 = 2315796^2 + 7150528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38933811675 + ... + 38933813125.

Almost surely, 2^{56492961792400} is an apocalyptic number.

56492961792400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56492961792400 is the 7516180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56492961792400

56492961792400 is an abundant number, since it is smaller than the sum of its proper divisors (105884809308467).

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

56492961792400 is an equidigital number, since it uses as much as digits as its factorization.

56492961792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 56492961792400 in words is "fifty-six trillion, four hundred ninety-two billion, nine hundred sixty-one million, seven hundred ninety-two thousand, four hundred".