15057805968 has 120 divisors (see below), whose sum is σ = 44062304832. Its totient is φ = 4791308544.

The previous prime is 15057805963. The next prime is 15057805979. The reversal of 15057805968 is 86950875051.

15057805968 is a `hidden beast` number, since 1 + 5 + 0 + 578 + 0 + 5 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (15057805963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727830 + ... + 1736522.

Almost surely, 2^15057805968 is an apocalyptic number.

15057805968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15057805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22031152416).

15057805968 is an abundant number, since it is smaller than the sum of its proper divisors (29004498864).

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

15057805968 is a wasteful number, since it uses less digits than its factorization.

15057805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 15057805968 in words is "fifteen billion, fifty-seven million, eight hundred five thousand, nine hundred sixty-eight".