57600960004 has 135 divisors (see below), whose sum is σ = 123068296071. Its totient is φ = 23587396560.

The previous prime is 57600959989. The next prime is 57600960061. The reversal of 57600960004 is 40006900675.

The square root of 57600960004 is 240002.

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

It is a super-3 number, since 3×57600960004³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 729126037 + ... + 729126115.

Almost surely, 2^57600960004 is an apocalyptic number.

57600960004 is the 240002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57600960004

57600960004 is an abundant number, since it is smaller than the sum of its proper divisors (65467336067).

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

57600960004 is an frugal number, since it uses more digits than its factorization.

57600960004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 57600960004 in words is "fifty-seven billion, six hundred million, nine hundred sixty thousand, four".