2115187868160 has 960 divisors, whose sum is σ = 7901306569728. Its totient is φ = 521562488832.

The previous prime is 2115187868153. The next prime is 2115187868161. The reversal of 2115187868160 is 618687815112.

2115187868160 is a `hidden beast` number, since 2 + 1 + 1 + 518 + 7 + 8 + 68 + 1 + 60 = 666.

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

It is a super-2 number, since 2×2115187868160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2115187868097 and 2115187868106.

It is not an unprimeable number, because it can be changed into a prime (2115187868161) 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, 4568440089 + ... + 4568440551.

Almost surely, 2^{2115187868160} is an apocalyptic number.

2115187868160 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 2115187868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950653284864).

2115187868160 is an abundant number, since it is smaller than the sum of its proper divisors (5786118701568).

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

2115187868160 is a wasteful number, since it uses less digits than its factorization.

2115187868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 2115187868160 in words is "two trillion, one hundred fifteen billion, one hundred eighty-seven million, eight hundred sixty-eight thousand, one hundred sixty".