115507607040 has 1600 divisors, whose sum is σ = 520197562368. Its totient is φ = 23887872000.

The previous prime is 115507607027. The next prime is 115507607063. The reversal of 115507607040 is 40706705511.

115507607040 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 0 + 7 + 607 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 115507606986 and 115507607004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 764950965 + ... + 764951115.

Almost surely, 2^115507607040 is an apocalyptic number.

115507607040 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 115507607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260098781184).

115507607040 is an abundant number, since it is smaller than the sum of its proper divisors (404689955328).

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

115507607040 is a wasteful number, since it uses less digits than its factorization.

115507607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 115507607040 in words is "one hundred fifteen billion, five hundred seven million, six hundred seven thousand, forty".