115977093120 has 648 divisors, whose sum is σ = 468321615216. Its totient is φ = 26008879104.

The previous prime is 115977093097. The next prime is 115977093139. The reversal of 115977093120 is 21390779511.

It is a happy number.

115977093120 is a `hidden beast` number, since 1 + 1 + 597 + 7 + 0 + 9 + 31 + 20 = 666.

It is a super-2 number, since 2×115977093120² (a number of 23 digits) contains 22 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 35 ways as a sum of consecutive naturals, for example, 2188247014 + ... + 2188247066.

It is an arithmetic number, because the mean of its divisors is an integer number (722718542).

Almost surely, 2^115977093120 is an apocalyptic number.

115977093120 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 115977093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234160807608).

115977093120 is an abundant number, since it is smaller than the sum of its proper divisors (352344522096).

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

115977093120 is an frugal number, since it uses more digits than its factorization.

115977093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 115977093120 in words is "one hundred fifteen billion, nine hundred seventy-seven million, ninety-three thousand, one hundred twenty".