57415079037168 has 640 divisors, whose sum is σ = 171580218163200. Its totient is φ = 18373207449600.

The previous prime is 57415079037139. The next prime is 57415079037179. The reversal of 57415079037168 is 86173097051475.

57415079037168 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 507 + 90 + 37 + 1 + 6 + 8 = 666.

57415079037168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112799762098 + ... + 112799762606.

It is an arithmetic number, because the mean of its divisors is an integer number (268094090880).

Almost surely, 2^{57415079037168} 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 57415079037168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85790109081600).

57415079037168 is an abundant number, since it is smaller than the sum of its proper divisors (114165139126032).

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

57415079037168 is a wasteful number, since it uses less digits than its factorization.

57415079037168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 57415079037168 in words is "fifty-seven trillion, four hundred fifteen billion, seventy-nine million, thirty-seven thousand, one hundred sixty-eight".