57655671201792 has 224 divisors, whose sum is σ = 174044268380160. Its totient is φ = 18855938949120.

The previous prime is 57655671201769. The next prime is 57655671201823. The reversal of 57655671201792 is 29710217655675.

57655671201792 is a `hidden beast` number, since 5 + 7 + 6 + 556 + 7 + 1 + 2 + 0 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×57655671201792² (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9263617 + ... + 14181887.

Almost surely, 2^{57655671201792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57655671201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87022134190080).

57655671201792 is an abundant number, since it is smaller than the sum of its proper divisors (116388597178368).

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

57655671201792 is an equidigital number, since it uses as much as digits as its factorization.

57655671201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918359 (or 4918329 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 57655671201792 in words is "fifty-seven trillion, six hundred fifty-five billion, six hundred seventy-one million, two hundred one thousand, seven hundred ninety-two".