15000068160 has 672 divisors, whose sum is σ = 67173287040. Its totient is φ = 3115929600.

The previous prime is 15000068143. The next prime is 15000068191. The reversal of 15000068160 is 6186000051.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4655350 + ... + 4658570.

Almost surely, 2^15000068160 is an apocalyptic number.

15000068160 is a gapful number since it is divisible by the number (10) 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 15000068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33586643520).

15000068160 is an abundant number, since it is smaller than the sum of its proper divisors (52173218880).

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

15000068160 is a wasteful number, since it uses less digits than its factorization.

15000068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 15000068160 in words is "fifteen billion, sixty-eight thousand, one hundred sixty".