115509252096 has 832 divisors, whose sum is σ = 423489116160. Its totient is φ = 30364139520.

The previous prime is 115509252091. The next prime is 115509252101. The reversal of 115509252096 is 690252905511.

115509252096 is a `hidden beast` number, since 1 + 1 + 5 + 509 + 2 + 52 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (115509252091) and next prime (115509252101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115509252091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881749951 + ... + 881750081.

Almost surely, 2^115509252096 is an apocalyptic number.

115509252096 is a gapful number since it is divisible by the number (16) 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 115509252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211744558080).

115509252096 is an abundant number, since it is smaller than the sum of its proper divisors (307979864064).

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

115509252096 is a wasteful number, since it uses less digits than its factorization.

115509252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 115509252096 in words is "one hundred fifteen billion, five hundred nine million, two hundred fifty-two thousand, ninety-six".