115384882809960 has 192 divisors, whose sum is σ = 377223983632080. Its totient is φ = 30586945044480.

The previous prime is 115384882809953. The next prime is 115384882809983. The reversal of 115384882809960 is 69908288483511.

115384882809960 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 8 + 488 + 2 + 80 + 9 + 9 + 60 = 666.

115384882809960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60239733553476 + 55145149256484 = 7761426^2 + 7425978^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434394790 + ... + 434660330.

Almost surely, 2^{115384882809960} is an apocalyptic number.

115384882809960 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 115384882809960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188611991816040).

115384882809960 is an abundant number, since it is smaller than the sum of its proper divisors (261839100822120).

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

115384882809960 is a wasteful number, since it uses less digits than its factorization.

115384882809960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272708 (or 272701 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 115384882809960 in words is "one hundred fifteen trillion, three hundred eighty-four billion, eight hundred eighty-two million, eight hundred nine thousand, nine hundred sixty".