57390321409600 has 63 divisors (see below), whose sum is σ = 141216805254801. Its totient is φ = 22956007353600.

The previous prime is 57390321409543. The next prime is 57390321409639. The reversal of 57390321409600 is 690412309375.

The square root of 57390321409600 is 7575640.

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., 20660515707456 + 36729805702144 = 4545384^2 + 6060512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 302930905 + ... + 303120295.

Almost surely, 2^{57390321409600} is an apocalyptic number.

57390321409600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57390321409600 is the 7575640-th square number.

It is an amenable number.

57390321409600 is an abundant number, since it is smaller than the sum of its proper divisors (83826483845201).

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

57390321409600 is an frugal number, since it uses more digits than its factorization.

57390321409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378804 (or 189398 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 57390321409600 in words is "fifty-seven trillion, three hundred ninety billion, three hundred twenty-one million, four hundred nine thousand, six hundred".