115025500800 has 432 divisors, whose sum is σ = 477453383550. Its totient is φ = 26291220480.

The previous prime is 115025500787. The next prime is 115025500817. The reversal of 115025500800 is 8005520511.

115025500800 is a `hidden beast` number, since 1 + 150 + 2 + 5 + 500 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 99861056064 + 15164444736 = 316008^2 + 123144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1370446 + ... + 1451954.

Almost surely, 2^115025500800 is an apocalyptic number.

115025500800 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 115025500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238726691775).

115025500800 is an abundant number, since it is smaller than the sum of its proper divisors (362427882750).

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

115025500800 is a wasteful number, since it uses less digits than its factorization.

115025500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81553 (or 81526 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 115025500800 in words is "one hundred fifteen billion, twenty-five million, five hundred thousand, eight hundred".