57188153215680 has 224 divisors, whose sum is σ = 189474769257984. Its totient is φ = 14586512523264.

The previous prime is 57188153215673. The next prime is 57188153215693. The reversal of 57188153215680 is 8651235188175.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 784620519 + ... + 784693401.

It is an arithmetic number, because the mean of its divisors is an integer number (845869505616).

Almost surely, 2^{57188153215680} 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 57188153215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94737384628992).

57188153215680 is an abundant number, since it is smaller than the sum of its proper divisors (132286616042304).

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

57188153215680 is a wasteful number, since it uses less digits than its factorization.

57188153215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108463 (or 108453 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 60.

The spelling of 57188153215680 in words is "fifty-seven trillion, one hundred eighty-eight billion, one hundred fifty-three million, two hundred fifteen thousand, six hundred eighty".