115581444160 has 896 divisors, whose sum is σ = 379377976320. Its totient is φ = 32501661696.

The previous prime is 115581444059. The next prime is 115581444179. The reversal of 115581444160 is 61444185511.

It is a super-2 number, since 2×115581444160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1191561232 + ... + 1191561328.

It is an arithmetic number, because the mean of its divisors is an integer number (423412920).

Almost surely, 2^115581444160 is an apocalyptic number.

115581444160 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 115581444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189688988160).

115581444160 is an abundant number, since it is smaller than the sum of its proper divisors (263796532160).

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

115581444160 is a wasteful number, since it uses less digits than its factorization.

115581444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 115581444160 in words is "one hundred fifteen billion, five hundred eighty-one million, four hundred forty-four thousand, one hundred sixty".