115032953040 has 160 divisors (see below), whose sum is σ = 358072320000. Its totient is φ = 30549312000.

The previous prime is 115032953003. The next prime is 115032953059. The reversal of 115032953040 is 40359230511.

115032953040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 115032952992 and 115032953010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89939121 + ... + 89940399.

It is an arithmetic number, because the mean of its divisors is an integer number (2237952000).

Almost surely, 2^115032953040 is an apocalyptic number.

115032953040 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 115032953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179036160000).

115032953040 is an abundant number, since it is smaller than the sum of its proper divisors (243039366960).

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

115032953040 is a wasteful number, since it uses less digits than its factorization.

115032953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 115032953040 in words is "one hundred fifteen billion, thirty-two million, nine hundred fifty-three thousand, forty".