57331513600 has 243 divisors, whose sum is σ = 147469714329. Its totient is φ = 22066790400.

The previous prime is 57331513531. The next prime is 57331513621. The reversal of 57331513600 is 631513375.

The square root of 57331513600 is 239440.

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

It can be written as a sum of positive squares in 13 ways, for example, as 56096975104 + 1234538496 = 236848^2 + 35136^2 .

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, 785363164 + ... + 785363236.

Almost surely, 2^57331513600 is an apocalyptic number.

57331513600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57331513600 is the 239440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57331513600

57331513600 is an abundant number, since it is smaller than the sum of its proper divisors (90138200729).

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

57331513600 is an frugal number, since it uses more digits than its factorization.

57331513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The spelling of 57331513600 in words is "fifty-seven billion, three hundred thirty-one million, five hundred thirteen thousand, six hundred".