57981085632 has 280 divisors, whose sum is σ = 183084404976. Its totient is φ = 18080243712.

The previous prime is 57981085619. The next prime is 57981085703. The reversal of 57981085632 is 23658018975.

57981085632 is a `hidden beast` number, since 5 + 79 + 8 + 1 + 0 + 8 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15244243 + ... + 15248045.

Almost surely, 2^57981085632 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 57981085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91542202488).

57981085632 is an abundant number, since it is smaller than the sum of its proper divisors (125103319344).

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

57981085632 is a wasteful number, since it uses less digits than its factorization.

57981085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 57981085632 in words is "fifty-seven billion, nine hundred eighty-one million, eighty-five thousand, six hundred thirty-two".