115636973760 has 2016 divisors, whose sum is σ = 546392770560. Its totient is φ = 22992076800.

The previous prime is 115636973731. The next prime is 115636973797. The reversal of 115636973760 is 67379636511.

115636973760 is a `hidden beast` number, since 1 + 1 + 563 + 6 + 9 + 7 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 115636973697 and 115636973706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1299291796 + ... + 1299291884.

It is an arithmetic number, because the mean of its divisors is an integer number (271028160).

Almost surely, 2^115636973760 is an apocalyptic number.

115636973760 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 115636973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196385280).

115636973760 is an abundant number, since it is smaller than the sum of its proper divisors (430755796800).

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

115636973760 is a wasteful number, since it uses less digits than its factorization.

115636973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 115636973760 in words is "one hundred fifteen billion, six hundred thirty-six million, nine hundred seventy-three thousand, seven hundred sixty".