57195600 has 240 divisors, whose sum is σ = 228794880. Its totient is φ = 11865600.

The previous prime is 57195563. The next prime is 57195623. The reversal of 57195600 is 659175.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92091 + ... + 92709.

It is an arithmetic number, because the mean of its divisors is an integer number (953312).

Almost surely, 2^57195600 is an apocalyptic number.

57195600 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 57195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397440).

57195600 is an abundant number, since it is smaller than the sum of its proper divisors (171599280).

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

57195600 is a wasteful number, since it uses less digits than its factorization.

57195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 57195600 is about 7562.7772676445. Note that the first 3 decimals coincide. The cubic root of 57195600 is about 385.2898250572.

The spelling of 57195600 in words is "fifty-seven million, one hundred ninety-five thousand, six hundred".