115827080772 has 96 divisors (see below), whose sum is σ = 301931884800. Its totient is φ = 34313836032.

The previous prime is 115827080771. The next prime is 115827080819. The reversal of 115827080772 is 277080728511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (115827080771) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1588458 + ... + 1659774.

It is an arithmetic number, because the mean of its divisors is an integer number (3145123800).

Almost surely, 2^115827080772 is an apocalyptic number.

115827080772 is a gapful number since it is divisible by the number (12) 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 115827080772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150965942400).

115827080772 is an abundant number, since it is smaller than the sum of its proper divisors (186104804028).

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

115827080772 is a wasteful number, since it uses less digits than its factorization.

115827080772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71725 (or 71723 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 48.

The spelling of 115827080772 in words is "one hundred fifteen billion, eight hundred twenty-seven million, eighty thousand, seven hundred seventy-two".