2015115896160 has 384 divisors, whose sum is σ = 7319269641600. Its totient is φ = 517187543040.

The previous prime is 2015115896141. The next prime is 2015115896173. The reversal of 2015115896160 is 616985115102.

2015115896160 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 1 + 1 + 589 + 6 + 1 + 60 = 666.

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

It is a congruent number.

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, 39688390 + ... + 39739130.

It is an arithmetic number, because the mean of its divisors is an integer number (19060598025).

Almost surely, 2^{2015115896160} is an apocalyptic number.

2015115896160 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 2015115896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659634820800).

2015115896160 is an abundant number, since it is smaller than the sum of its proper divisors (5304153745440).

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

2015115896160 is a wasteful number, since it uses less digits than its factorization.

2015115896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51111 (or 51097 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 2015115896160 in words is "two trillion, fifteen billion, one hundred fifteen million, eight hundred ninety-six thousand, one hundred sixty".