115826024160 has 864 divisors, whose sum is σ = 509664669696. Its totient is φ = 23269939200.

The previous prime is 115826024107. The next prime is 115826024177. The reversal of 115826024160 is 61420628511.

It is a happy number.

115826024160 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 2 + 602 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 106555137 + ... + 106556223.

It is an arithmetic number, because the mean of its divisors is an integer number (589889664).

Almost surely, 2^115826024160 is an apocalyptic number.

115826024160 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 115826024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254832334848).

115826024160 is an abundant number, since it is smaller than the sum of its proper divisors (393838645536).

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

115826024160 is a wasteful number, since it uses less digits than its factorization.

115826024160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 115826024160 in words is "one hundred fifteen billion, eight hundred twenty-six million, twenty-four thousand, one hundred sixty".