57952103631360 has 640 divisors, whose sum is σ = 199225632672000. Its totient is φ = 14326990110720.

The previous prime is 57952103631337. The next prime is 57952103631391. The reversal of 57952103631360 is 6313630125975.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753504116 + ... + 1753537164.

It is an arithmetic number, because the mean of its divisors is an integer number (311290051050).

Almost surely, 2^{57952103631360} 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 57952103631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99612816336000).

57952103631360 is an abundant number, since it is smaller than the sum of its proper divisors (141273529040640).

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

57952103631360 is a wasteful number, since it uses less digits than its factorization.

57952103631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33352 (or 33336 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 57952103631360 in words is "fifty-seven trillion, nine hundred fifty-two billion, one hundred three million, six hundred thirty-one thousand, three hundred sixty".