115312718062080 has 1920 divisors, whose sum is σ = 524676318566400. Its totient is φ = 22675429785600.

The previous prime is 115312718062037. The next prime is 115312718062127. The reversal of 115312718062080 is 80260817213511.

115312718062080 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 2 + 7 + 18 + 0 + 620 + 8 + 0 = 666.

115312718062080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61044317776 + ... + 61044319664.

It is an arithmetic number, because the mean of its divisors is an integer number (273268915920).

Almost surely, 2^{115312718062080} is an apocalyptic number.

115312718062080 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 115312718062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262338159283200).

115312718062080 is an abundant number, since it is smaller than the sum of its proper divisors (409363600504320).

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

115312718062080 is a wasteful number, since it uses less digits than its factorization.

115312718062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 115312718062080 in words is "one hundred fifteen trillion, three hundred twelve billion, seven hundred eighteen million, sixty-two thousand, eighty".