115586131968 has 288 divisors, whose sum is σ = 340823246400. Its totient is φ = 37731631104.

The previous prime is 115586131967. The next prime is 115586132033. The reversal of 115586131968 is 869131685511.

115586131968 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 613 + 19 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (115586131967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203138788 + ... + 203139356.

It is an arithmetic number, because the mean of its divisors is an integer number (1183414050).

Almost surely, 2^115586131968 is an apocalyptic number.

115586131968 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 115586131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170411623200).

115586131968 is an abundant number, since it is smaller than the sum of its proper divisors (225237114432).

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

115586131968 is a wasteful number, since it uses less digits than its factorization.

115586131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 115586131968 in words is "one hundred fifteen billion, five hundred eighty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".