15983976960 has 960 divisors, whose sum is σ = 68635607040. Its totient is φ = 3357573120.

The previous prime is 15983976959. The next prime is 15983976961. The reversal of 15983976960 is 6967938951.

15983976960 is a `hidden beast` number, since 1 + 598 + 39 + 7 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15983976959) and next prime (15983976961).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (15983976961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114992571 + ... + 114992709.

It is an arithmetic number, because the mean of its divisors is an integer number (71495424).

Almost surely, 2^15983976960 is an apocalyptic number.

15983976960 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 15983976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34317803520).

15983976960 is an abundant number, since it is smaller than the sum of its proper divisors (52651630080).

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

15983976960 is a wasteful number, since it uses less digits than its factorization.

15983976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 15983976960 in words is "fifteen billion, nine hundred eighty-three million, nine hundred seventy-six thousand, nine hundred sixty".