15959009664 has 256 divisors, whose sum is σ = 51449126400. Its totient is φ = 4840335360.

The previous prime is 15959009579. The next prime is 15959009707. The reversal of 15959009664 is 46690095951.

15959009664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 15959009664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3187387 + ... + 3192389.

It is an arithmetic number, because the mean of its divisors is an integer number (200973150).

Almost surely, 2^15959009664 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 15959009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724563200).

15959009664 is an abundant number, since it is smaller than the sum of its proper divisors (35490116736).

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

15959009664 is a wasteful number, since it uses less digits than its factorization.

15959009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 15959009664 in words is "fifteen billion, nine hundred fifty-nine million, nine thousand, six hundred sixty-four".