115856832500640 has 2688 divisors, whose sum is σ = 533220122050560. Its totient is φ = 23073892761600.

The previous prime is 115856832500627. The next prime is 115856832500641. The reversal of 115856832500640 is 46005238658511.

115856832500640 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 5 + 68 + 32 + 500 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115856832500641) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 29790903816 + ... + 29790907704.

It is an arithmetic number, because the mean of its divisors is an integer number (198370581120).

Almost surely, 2^{115856832500640} is an apocalyptic number.

115856832500640 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 115856832500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266610061025280).

115856832500640 is an abundant number, since it is smaller than the sum of its proper divisors (417363289549920).

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

115856832500640 is a wasteful number, since it uses less digits than its factorization.

115856832500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 115856832500640 in words is "one hundred fifteen trillion, eight hundred fifty-six billion, eight hundred thirty-two million, five hundred thousand, six hundred forty".