57479803200 has 1008 divisors, whose sum is σ = 231125207040. Its totient is φ = 13996800000.

The previous prime is 57479803189. The next prime is 57479803267. The reversal of 57479803200 is 230897475.

57479803200 is a `hidden beast` number, since 574 + 79 + 8 + 0 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 229003075 + ... + 229003325.

It is an arithmetic number, because the mean of its divisors is an integer number (229290880).

Almost surely, 2^57479803200 is an apocalyptic number.

57479803200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57479803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115562603520).

57479803200 is an abundant number, since it is smaller than the sum of its proper divisors (173645403840).

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

57479803200 is a wasteful number, since it uses less digits than its factorization.

57479803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57479803200 in words is "fifty-seven billion, four hundred seventy-nine million, eight hundred three thousand, two hundred".