15082865664 has 352 divisors, whose sum is σ = 46054552320. Its totient is φ = 4359979008.

The previous prime is 15082865639. The next prime is 15082865711. The reversal of 15082865664 is 46656828051.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34833192 + ... + 34833624.

Almost surely, 2^15082865664 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 15082865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027276160).

15082865664 is an abundant number, since it is smaller than the sum of its proper divisors (30971686656).

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

15082865664 is a wasteful number, since it uses less digits than its factorization.

15082865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 15082865664 in words is "fifteen billion, eighty-two million, eight hundred sixty-five thousand, six hundred sixty-four".