115113458880 has 448 divisors, whose sum is σ = 465937274880. Its totient is φ = 26207981568.

The previous prime is 115113458879. The next prime is 115113458947. The reversal of 115113458880 is 88854311511.

115113458880 is a `hidden beast` number, since 1 + 1 + 5 + 113 + 458 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×115113458880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15902622 + ... + 15909858.

It is an arithmetic number, because the mean of its divisors is an integer number (1040038560).

Almost surely, 2^115113458880 is an apocalyptic number.

115113458880 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 115113458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232968637440).

115113458880 is an abundant number, since it is smaller than the sum of its proper divisors (350823816000).

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

115113458880 is a wasteful number, since it uses less digits than its factorization.

115113458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 115113458880 in words is "one hundred fifteen billion, one hundred thirteen million, four hundred fifty-eight thousand, eight hundred eighty".