15007872000 has 1056 divisors, whose sum is σ = 61158464640. Its totient is φ = 3244032000.

The previous prime is 15007871987. The next prime is 15007872023. The reversal of 15007872000 is 27870051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

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, 789887991 + ... + 789888009.

Almost surely, 2^15007872000 is an apocalyptic number.

15007872000 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 15007872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30579232320).

15007872000 is an abundant number, since it is smaller than the sum of its proper divisors (46150592640).

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

15007872000 is a wasteful number, since it uses less digits than its factorization.

15007872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 15007872000 in words is "fifteen billion, seven million, eight hundred seventy-two thousand".