115809868800 has 528 divisors, whose sum is σ = 428867788800. Its totient is φ = 30622924800.

The previous prime is 115809868787. The next prime is 115809868817. The reversal of 115809868800 is 8868908511.

It is a super-2 number, since 2×115809868800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90546561 + ... + 90547839.

It is an arithmetic number, because the mean of its divisors is an integer number (812249600).

Almost surely, 2^115809868800 is an apocalyptic number.

115809868800 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 115809868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214433894400).

115809868800 is an abundant number, since it is smaller than the sum of its proper divisors (313057920000).

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

115809868800 is a wasteful number, since it uses less digits than its factorization.

115809868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 115809868800 in words is "one hundred fifteen billion, eight hundred nine million, eight hundred sixty-eight thousand, eight hundred".