57130560400 has 405 divisors, whose sum is σ = 158154238809. Its totient is φ = 19825274880.

The previous prime is 57130560359. The next prime is 57130560427. The reversal of 57130560400 is 406503175.

The square root of 57130560400 is 239020.

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 1766352784 + 55364207616 = 42028^2 + 235296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1544069182 + ... + 1544069218.

Almost surely, 2^57130560400 is an apocalyptic number.

57130560400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57130560400 is the 239020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57130560400

57130560400 is an abundant number, since it is smaller than the sum of its proper divisors (101023678409).

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

57130560400 is a wasteful number, since it uses less digits than its factorization.

57130560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 57130560400 in words is "fifty-seven billion, one hundred thirty million, five hundred sixty thousand, four hundred".