2015916932160 has 1120 divisors, whose sum is σ = 7545811680000. Its totient is φ = 510424104960.

The previous prime is 2015916932149. The next prime is 2015916932171. The reversal of 2015916932160 is 612396195102.

2015916932160 is a `hidden beast` number, since 20 + 1 + 591 + 6 + 9 + 32 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2015916932149) and next prime (2015916932171).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10130235741 + ... + 10130235939.

Almost surely, 2^{2015916932160} is an apocalyptic number.

2015916932160 is a gapful number since it is divisible by the number (20) 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 2015916932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772905840000).

2015916932160 is an abundant number, since it is smaller than the sum of its proper divisors (5529894747840).

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

2015916932160 is a wasteful number, since it uses less digits than its factorization.

2015916932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 2015916932160 in words is "two trillion, fifteen billion, nine hundred sixteen million, nine hundred thirty-two thousand, one hundred sixty".