115115122560 has 128 divisors (see below), whose sum is σ = 368505689760. Its totient is φ = 30565498880.

The previous prime is 115115122541. The next prime is 115115122561. The reversal of 115115122560 is 65221511511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115115122561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318700 + ... + 576020.

Almost surely, 2^115115122560 is an apocalyptic number.

115115122560 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 115115122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184252844880).

115115122560 is an abundant number, since it is smaller than the sum of its proper divisors (253390567200).

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

115115122560 is a wasteful number, since it uses less digits than its factorization.

115115122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257576 (or 257564 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

It can be divided in two parts, 1151151 and 22560, that added together give a palindrome (1173711).

The spelling of 115115122560 in words is "one hundred fifteen billion, one hundred fifteen million, one hundred twenty-two thousand, five hundred sixty".