57542874173568 has 512 divisors, whose sum is σ = 197298329088000. Its totient is φ = 16171396595712.

The previous prime is 57542874173557. The next prime is 57542874173593. The reversal of 57542874173568 is 86537147824575.

57542874173568 is a `hidden beast` number, since 5 + 7 + 5 + 42 + 8 + 7 + 4 + 17 + 3 + 568 = 666.

It is a super-2 number, since 2×57542874173568² (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 a junction number, because it is equal to n+sod(n) for n = 57542874173496 and 57542874173505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382424493 + ... + 382574931.

It is an arithmetic number, because the mean of its divisors is an integer number (385348299000).

Almost surely, 2^{57542874173568} 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 57542874173568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98649164544000).

57542874173568 is an abundant number, since it is smaller than the sum of its proper divisors (139755454914432).

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

57542874173568 is a wasteful number, since it uses less digits than its factorization.

57542874173568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150729 (or 150711 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 57542874173568 in words is "fifty-seven trillion, five hundred forty-two billion, eight hundred seventy-four million, one hundred seventy-three thousand, five hundred sixty-eight".