57797212800 has 96 divisors (see below), whose sum is σ = 190369601280. Its totient is φ = 15412587520.

The previous prime is 57797212787. The next prime is 57797212801. The reversal of 57797212800 is 821279775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57797212800.

It is not an unprimeable number, because it can be changed into a prime (57797212801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3000672 + ... + 3019871.

It is an arithmetic number, because the mean of its divisors is an integer number (1983016680).

Almost surely, 2^57797212800 is an apocalyptic number.

57797212800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57797212800 is an abundant number, since it is smaller than the sum of its proper divisors (132572388480).

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

57797212800 is a wasteful number, since it uses less digits than its factorization.

57797212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020570 (or 6020553 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 57797212800 in words is "fifty-seven billion, seven hundred ninety-seven million, two hundred twelve thousand, eight hundred".