115606963584 has 320 divisors, whose sum is σ = 396895023360. Its totient is φ = 32719666176.

The previous prime is 115606963579. The next prime is 115606963631. The reversal of 115606963584 is 485369606511.

115606963584 is a `hidden beast` number, since 1 + 1 + 56 + 0 + 6 + 9 + 6 + 3 + 584 = 666.

It is a super-2 number, since 2×115606963584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 115606963584.

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 39 ways as a sum of consecutive naturals, for example, 7758189 + ... + 7773075.

It is an arithmetic number, because the mean of its divisors is an integer number (1240296948).

Almost surely, 2^115606963584 is an apocalyptic number.

115606963584 is a gapful number since it is divisible by the number (14) 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 115606963584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198447511680).

115606963584 is an abundant number, since it is smaller than the sum of its proper divisors (281288059776).

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

115606963584 is a wasteful number, since it uses less digits than its factorization.

115606963584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15006 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 115606963584 in words is "one hundred fifteen billion, six hundred six million, nine hundred sixty-three thousand, five hundred eighty-four".