115536813840 has 720 divisors, whose sum is σ = 462754654128. Its totient is φ = 25751126016.

The previous prime is 115536813823. The next prime is 115536813853. The reversal of 115536813840 is 48318635511.

115536813840 is a `hidden beast` number, since 1 + 1 + 5 + 536 + 81 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8599965696 + 106936848144 = 92736^2 + 327012^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291024522 + ... + 291024918.

Almost surely, 2^115536813840 is an apocalyptic number.

115536813840 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 115536813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231377327064).

115536813840 is an abundant number, since it is smaller than the sum of its proper divisors (347217840288).

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

115536813840 is a wasteful number, since it uses less digits than its factorization.

115536813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 115536813840 in words is "one hundred fifteen billion, five hundred thirty-six million, eight hundred thirteen thousand, eight hundred forty".