15087617664 has 128 divisors (see below), whose sum is σ = 47279431680. Its totient is φ = 4171668480.

The previous prime is 15087617659. The next prime is 15087617683. The reversal of 15087617664 is 46671678051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7204 + ... + 173859.

It is an arithmetic number, because the mean of its divisors is an integer number (369370560).

Almost surely, 2^15087617664 is an apocalyptic number.

15087617664 is a gapful number since it is divisible by the number (14) 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 15087617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23639715840).

15087617664 is an abundant number, since it is smaller than the sum of its proper divisors (32191814016).

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

15087617664 is a wasteful number, since it uses less digits than its factorization.

15087617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181118 (or 181106 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 15087617664 in words is "fifteen billion, eighty-seven million, six hundred seventeen thousand, six hundred sixty-four".