115005844800 has 2016 divisors, whose sum is σ = 551870392320. Its totient is φ = 21996748800.

The previous prime is 115005844799. The next prime is 115005844847. The reversal of 115005844800 is 8448500511.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1116561549 + ... + 1116561651.

Almost surely, 2^115005844800 is an apocalyptic number.

115005844800 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 115005844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275935196160).

115005844800 is an abundant number, since it is smaller than the sum of its proper divisors (436864547520).

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

115005844800 is a wasteful number, since it uses less digits than its factorization.

115005844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 115005 and 844800, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 115005844800 in words is "one hundred fifteen billion, five million, eight hundred forty-four thousand, eight hundred".