15975912960 has 960 divisors, whose sum is σ = 68013950400. Its totient is φ = 3542482944.

The previous prime is 15975912949. The next prime is 15975912971. The reversal of 15975912960 is 6921957951.

It is an interprime number because it is at equal distance from previous prime (15975912949) and next prime (15975912971).

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 15975912897 and 15975912906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179504596 + ... + 179504684.

It is an arithmetic number, because the mean of its divisors is an integer number (70847865).

Almost surely, 2^15975912960 is an apocalyptic number.

15975912960 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 15975912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34006975200).

15975912960 is an abundant number, since it is smaller than the sum of its proper divisors (52038037440).

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

15975912960 is an equidigital number, since it uses as much as digits as its factorization.

15975912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 15975912960 in words is "fifteen billion, nine hundred seventy-five million, nine hundred twelve thousand, nine hundred sixty".