57200400384 has 48 divisors (see below), whose sum is σ = 152497177560. Its totient is φ = 19066798080.

The previous prime is 57200400347. The next prime is 57200400401. The reversal of 57200400384 is 48300400275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4648837 + ... + 4661124.

Almost surely, 2^57200400384 is an apocalyptic number.

It is an amenable number.

57200400384 is an abundant number, since it is smaller than the sum of its proper divisors (95296777176).

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

57200400384 is an equidigital number, since it uses as much as digits as its factorization.

57200400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309986 (or 9309966 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 57200400384 in words is "fifty-seven billion, two hundred million, four hundred thousand, three hundred eighty-four".