57416385600 has 672 divisors, whose sum is σ = 240755424000. Its totient is φ = 13038796800.

The previous prime is 57416385557. The next prime is 57416385619. The reversal of 57416385600 is 658361475.

57416385600 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 6 + 38 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 54733876 + ... + 54734924.

It is an arithmetic number, because the mean of its divisors is an integer number (358267000).

Almost surely, 2^57416385600 is an apocalyptic number.

57416385600 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 57416385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712000).

57416385600 is an abundant number, since it is smaller than the sum of its proper divisors (183339038400).

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

57416385600 is a wasteful number, since it uses less digits than its factorization.

57416385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57416385600 in words is "fifty-seven billion, four hundred sixteen million, three hundred eighty-five thousand, six hundred".