57388364188512 has 1152 divisors, whose sum is σ = 198965071872000. Its totient is φ = 14348867420160.

The previous prime is 57388364188499. The next prime is 57388364188517. The reversal of 57388364188512 is 21588146388375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57388364188517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21485720937 + ... + 21485723607.

It is an arithmetic number, because the mean of its divisors is an integer number (172712736000).

Almost surely, 2^{57388364188512} 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 57388364188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99482535936000).

57388364188512 is an abundant number, since it is smaller than the sum of its proper divisors (141576707683488).

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

57388364188512 is a wasteful number, since it uses less digits than its factorization.

57388364188512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2977 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 69.

The spelling of 57388364188512 in words is "fifty-seven trillion, three hundred eighty-eight billion, three hundred sixty-four million, one hundred eighty-eight thousand, five hundred twelve".