115531260768 has 864 divisors, whose sum is σ = 453913891200. Its totient is φ = 28404794880.

The previous prime is 115531260727. The next prime is 115531260797. The reversal of 115531260768 is 867062135511.

115531260768 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 31 + 2 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97329871 + ... + 97331057.

It is an arithmetic number, because the mean of its divisors is an integer number (525363300).

Almost surely, 2^115531260768 is an apocalyptic number.

115531260768 is a gapful number since it is divisible by the number (18) 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 115531260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226956945600).

115531260768 is an abundant number, since it is smaller than the sum of its proper divisors (338382630432).

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

115531260768 is a wasteful number, since it uses less digits than its factorization.

115531260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 115531260768 in words is "one hundred fifteen billion, five hundred thirty-one million, two hundred sixty thousand, seven hundred sixty-eight".