115099944960 has 1536 divisors, whose sum is σ = 523069747200. Its totient is φ = 20808990720.

The previous prime is 115099944943. The next prime is 115099945003. The reversal of 115099944960 is 69449990511.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 115099944960.

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, 584263582 + ... + 584263778.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 2^115099944960 is an apocalyptic number.

115099944960 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 115099944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261534873600).

115099944960 is an abundant number, since it is smaller than the sum of its proper divisors (407969802240).

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

115099944960 is a wasteful number, since it uses less digits than its factorization.

115099944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 115099944960 in words is "one hundred fifteen billion, ninety-nine million, nine hundred forty-four thousand, nine hundred sixty".