57985571952 has 640 divisors, whose sum is σ = 227985408000. Its totient is φ = 13644702720.

The previous prime is 57985571947. The next prime is 57985571981. The reversal of 57985571952 is 25917558975.

57985571952 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 5 + 571 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 57985571952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14534374 + ... + 14538362.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^57985571952 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 57985571952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704000).

57985571952 is an abundant number, since it is smaller than the sum of its proper divisors (169999836048).

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

57985571952 is a wasteful number, since it uses less digits than its factorization.

57985571952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4054 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 63.

The spelling of 57985571952 in words is "fifty-seven billion, nine hundred eighty-five million, five hundred seventy-one thousand, nine hundred fifty-two".