57795749683200 has 1344 divisors, whose sum is σ = 218556360366720. Its totient is φ = 14967185080320.

The previous prime is 57795749683181. The next prime is 57795749683213. The reversal of 57795749683200 is 238694759775.

57795749683200 is a `hidden beast` number, since 5 + 7 + 7 + 9 + 57 + 496 + 83 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×57795749683200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27045272532 + ... + 27045274668.

Almost surely, 2^{57795749683200} is an apocalyptic number.

57795749683200 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 57795749683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109278180183360).

57795749683200 is an abundant number, since it is smaller than the sum of its proper divisors (160760610683520).

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

57795749683200 is a wasteful number, since it uses less digits than its factorization.

57795749683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 57795749683200 in words is "fifty-seven trillion, seven hundred ninety-five billion, seven hundred forty-nine million, six hundred eighty-three thousand, two hundred".