115509086856 has 256 divisors, whose sum is σ = 369156096000. Its totient is φ = 33222804480.

The previous prime is 115509086827. The next prime is 115509086867. The reversal of 115509086856 is 658680905511.

115509086856 is a `hidden beast` number, since 1 + 1 + 5 + 509 + 0 + 86 + 8 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136105 + ... + 2189511.

It is an arithmetic number, because the mean of its divisors is an integer number (1442016000).

Almost surely, 2^115509086856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115509086856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184578048000).

115509086856 is an abundant number, since it is smaller than the sum of its proper divisors (253647009144).

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

115509086856 is a wasteful number, since it uses less digits than its factorization.

115509086856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53489 (or 53479 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 115509086856 in words is "one hundred fifteen billion, five hundred nine million, eighty-six thousand, eight hundred fifty-six".