115936987259184 has 640 divisors, whose sum is σ = 392090104627200. Its totient is φ = 28646634700800.

The previous prime is 115936987259179. The next prime is 115936987259213. The reversal of 115936987259184 is 481952789639511.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34189614129 + ... + 34189617519.

It is an arithmetic number, because the mean of its divisors is an integer number (612640788480).

Almost surely, 2^{115936987259184} is an apocalyptic number.

115936987259184 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 115936987259184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196045052313600).

115936987259184 is an abundant number, since it is smaller than the sum of its proper divisors (276153117368016).

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

115936987259184 is a wasteful number, since it uses less digits than its factorization.

115936987259184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5403 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 78.

The spelling of 115936987259184 in words is "one hundred fifteen trillion, nine hundred thirty-six billion, nine hundred eighty-seven million, two hundred fifty-nine thousand, one hundred eighty-four".