115831931040 has 720 divisors, whose sum is σ = 478657317600. Its totient is φ = 26302123008.

The previous prime is 115831931027. The next prime is 115831931057. The reversal of 115831931040 is 40139138511.

It is a happy number.

115831931040 is a `hidden beast` number, since 1 + 1 + 583 + 1 + 9 + 31 + 0 + 40 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 115831930986 and 115831931004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113671651 + ... + 113672669.

It is an arithmetic number, because the mean of its divisors is an integer number (664801830).

Almost surely, 2^115831931040 is an apocalyptic number.

115831931040 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 115831931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239328658800).

115831931040 is an abundant number, since it is smaller than the sum of its proper divisors (362825386560).

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

115831931040 is a wasteful number, since it uses less digits than its factorization.

115831931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 115831931040 in words is "one hundred fifteen billion, eight hundred thirty-one million, nine hundred thirty-one thousand, forty".