115887659040 has 360 divisors, whose sum is σ = 434474135172. Its totient is φ = 29084590080.

The previous prime is 115887659021. The next prime is 115887659087. The reversal of 115887659040 is 40956788511.

It is a happy number.

115887659040 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 8 + 7 + 6 + 590 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70911429264 + 44976229776 = 266292^2 + 212076^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 3729970 + ... + 3760910.

Almost surely, 2^115887659040 is an apocalyptic number.

115887659040 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 115887659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217237067586).

115887659040 is an abundant number, since it is smaller than the sum of its proper divisors (318586476132).

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

115887659040 is a wasteful number, since it uses less digits than its factorization.

115887659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31002 (or 30968 counting only the distinct ones).

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

The spelling of 115887659040 in words is "one hundred fifteen billion, eight hundred eighty-seven million, six hundred fifty-nine thousand, forty".