115079823360 has 840 divisors, whose sum is σ = 433210147776. Its totient is φ = 29302456320.

The previous prime is 115079823337. The next prime is 115079823449. The reversal of 115079823360 is 63328970511.

115079823360 is a `hidden beast` number, since 1 + 1 + 507 + 9 + 82 + 3 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2448506857 + ... + 2448506903.

Almost surely, 2^115079823360 is an apocalyptic number.

115079823360 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 115079823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216605073888).

115079823360 is an abundant number, since it is smaller than the sum of its proper divisors (318130324416).

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

115079823360 is an frugal number, since it uses more digits than its factorization.

115079823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 115079823360 in words is "one hundred fifteen billion, seventy-nine million, eight hundred twenty-three thousand, three hundred sixty".