57264405200 has 60 divisors (see below), whose sum is σ = 140504965440. Its totient is φ = 22418398080.

The previous prime is 57264405193. The next prime is 57264405241. The reversal of 57264405200 is 250446275.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 1504190 + ... + 1541789.

It is an arithmetic number, because the mean of its divisors is an integer number (2341749424).

Almost surely, 2^57264405200 is an apocalyptic number.

57264405200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57264405200 is an abundant number, since it is smaller than the sum of its proper divisors (83240560240).

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

57264405200 is a wasteful number, since it uses less digits than its factorization.

57264405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046044 (or 3046033 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 57264405200 in words is "fifty-seven billion, two hundred sixty-four million, four hundred five thousand, two hundred".