57198566458176 has 224 divisors, whose sum is σ = 178726427099136. Its totient is φ = 15915830016000.

The previous prime is 57198566458169. The next prime is 57198566458193. The reversal of 57198566458176 is 67185466589175.

It is a super-2 number, since 2×57198566458176² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209520 + ... + 10697711.

It is an arithmetic number, because the mean of its divisors is an integer number (797885835264).

Almost surely, 2^{57198566458176} 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 57198566458176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89363213549568).

57198566458176 is an abundant number, since it is smaller than the sum of its proper divisors (121527860640960).

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

57198566458176 is a wasteful number, since it uses less digits than its factorization.

57198566458176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907461 (or 10907451 counting only the distinct ones).

The product of its digits is 3048192000, while the sum is 78.

The spelling of 57198566458176 in words is "fifty-seven trillion, one hundred ninety-eight billion, five hundred sixty-six million, four hundred fifty-eight thousand, one hundred seventy-six".