115920342720 has 1008 divisors, whose sum is σ = 503705835360. Its totient is φ = 24252383232.

The previous prime is 115920342719. The next prime is 115920342757. The reversal of 115920342720 is 27243029511.

115920342720 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 203 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 328386064 + ... + 328386416.

It is an arithmetic number, because the mean of its divisors is an integer number (499708170).

Almost surely, 2^115920342720 is an apocalyptic number.

115920342720 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 115920342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251852917680).

115920342720 is an abundant number, since it is smaller than the sum of its proper divisors (387785492640).

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

115920342720 is a wasteful number, since it uses less digits than its factorization.

115920342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 115920342720 in words is "one hundred fifteen billion, nine hundred twenty million, three hundred forty-two thousand, seven hundred twenty".