115416956160 has 1296 divisors, whose sum is σ = 488378479680. Its totient is φ = 25593200640.

The previous prime is 115416956159. The next prime is 115416956203. The reversal of 115416956160 is 61659614511.

115416956160 is a `hidden beast` number, since 1 + 1 + 541 + 6 + 95 + 6 + 16 + 0 = 666.

It is a super-3 number, since 3×115416956160³ (a number of 34 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 3979895026 + ... + 3979895054.

Almost surely, 2^115416956160 is an apocalyptic number.

115416956160 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 115416956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244189239840).

115416956160 is an abundant number, since it is smaller than the sum of its proper divisors (372961523520).

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

115416956160 is a wasteful number, since it uses less digits than its factorization.

115416956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 115416956160 in words is "one hundred fifteen billion, four hundred sixteen million, nine hundred fifty-six thousand, one hundred sixty".