57679181568 has 144 divisors (see below), whose sum is σ = 171913154560. Its totient is φ = 19074714624.

The previous prime is 57679181551. The next prime is 57679181639. The reversal of 57679181568 is 86518197675.

57679181568 is a `hidden beast` number, since 5 + 7 + 67 + 9 + 1 + 8 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844971 + ... + 910677.

Almost surely, 2^57679181568 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 57679181568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85956577280).

57679181568 is an abundant number, since it is smaller than the sum of its proper divisors (114233972992).

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

57679181568 is a wasteful number, since it uses less digits than its factorization.

57679181568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65859 (or 65839 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 63.

The spelling of 57679181568 in words is "fifty-seven billion, six hundred seventy-nine million, one hundred eighty-one thousand, five hundred sixty-eight".