115477061091840 has 720 divisors, whose sum is σ = 492590368227672. Its totient is φ = 24842119938048.

The previous prime is 115477061091827. The next prime is 115477061091851. The reversal of 115477061091840 is 48190160774511.

115477061091840 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 7 + 7 + 0 + 610 + 9 + 18 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79622641615104 + 35854419476736 = 8923152^2 + 5987856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16183902 + ... + 22200738.

Almost surely, 2^{115477061091840} is an apocalyptic number.

115477061091840 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 115477061091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246295184113836).

115477061091840 is an abundant number, since it is smaller than the sum of its proper divisors (377113307135832).

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

115477061091840 is a wasteful number, since it uses less digits than its factorization.

115477061091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016897 (or 6016871 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 115477061091840 in words is "one hundred fifteen trillion, four hundred seventy-seven billion, sixty-one million, ninety-one thousand, eight hundred forty".