115839085824 has 1728 divisors, whose sum is σ = 483181977600. Its totient is φ = 26940211200.

The previous prime is 115839085823. The next prime is 115839085939. The reversal of 115839085824 is 428580938511.

115839085824 is a `hidden beast` number, since 1 + 1 + 58 + 3 + 9 + 0 + 8 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115839085823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1963374307 + ... + 1963374365.

It is an arithmetic number, because the mean of its divisors is an integer number (279619200).

Almost surely, 2^115839085824 is an apocalyptic number.

115839085824 is a gapful number since it is divisible by the number (14) 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 115839085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241590988800).

115839085824 is an abundant number, since it is smaller than the sum of its proper divisors (367342891776).

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

115839085824 is a wasteful number, since it uses less digits than its factorization.

115839085824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 115839085824 in words is "one hundred fifteen billion, eight hundred thirty-nine million, eighty-five thousand, eight hundred twenty-four".