15875979264 has 576 divisors, whose sum is σ = 52945401600. Its totient is φ = 4729798656.

The previous prime is 15875979247. The next prime is 15875979289. The reversal of 15875979264 is 46297957851.

15875979264 is a `hidden beast` number, since 15 + 8 + 7 + 597 + 9 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (38102400) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217479132 + ... + 217479204.

It is an arithmetic number, because the mean of its divisors is an integer number (91919100).

Almost surely, 2^15875979264 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 15875979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472700800).

15875979264 is an abundant number, since it is smaller than the sum of its proper divisors (37069422336).

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

15875979264 is an equidigital number, since it uses as much as digits as its factorization.

15875979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 15875979264 in words is "fifteen billion, eight hundred seventy-five million, nine hundred seventy-nine thousand, two hundred sixty-four".