15815976960 has 768 divisors, whose sum is σ = 62899200000. Its totient is φ = 3381460992.

The previous prime is 15815976947. The next prime is 15815977027. The reversal of 15815976960 is 6967951851.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 15815976960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200202201 + ... + 200202279.

It is an arithmetic number, because the mean of its divisors is an integer number (81900000).

Almost surely, 2^15815976960 is an apocalyptic number.

15815976960 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 15815976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600000).

15815976960 is an abundant number, since it is smaller than the sum of its proper divisors (47083223040).

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

15815976960 is an equidigital number, since it uses as much as digits as its factorization.

15815976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 15815976960 in words is "fifteen billion, eight hundred fifteen million, nine hundred seventy-six thousand, nine hundred sixty".