115875489600 has 420 divisors, whose sum is σ = 458699602284. Its totient is φ = 28522782720.

The previous prime is 115875489599. The next prime is 115875489659. The reversal of 115875489600 is 6984578511.

It is a happy number.

115875489600 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 7 + 548 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6468019776 + 109407469824 = 80424^2 + 330768^2 .

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 59 ways as a sum of consecutive naturals, for example, 1650412 + ... + 1719188.

Almost surely, 2^115875489600 is an apocalyptic number.

115875489600 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 115875489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229349801142).

115875489600 is an abundant number, since it is smaller than the sum of its proper divisors (342824112684).

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

115875489600 is a wasteful number, since it uses less digits than its factorization.

115875489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68824 (or 68800 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 115875489600 in words is "one hundred fifteen billion, eight hundred seventy-five million, four hundred eighty-nine thousand, six hundred".