115805675520 has 504 divisors, whose sum is σ = 426830361984. Its totient is φ = 29038215168.

The previous prime is 115805675519. The next prime is 115805675527. The reversal of 115805675520 is 25576508511.

115805675520 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 0 + 56 + 75 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115805675527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106536417 + ... + 106537503.

Almost surely, 2^115805675520 is an apocalyptic number.

115805675520 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 115805675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213415180992).

115805675520 is an abundant number, since it is smaller than the sum of its proper divisors (311024686464).

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

115805675520 is a wasteful number, since it uses less digits than its factorization.

115805675520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 115805675520 in words is "one hundred fifteen billion, eight hundred five million, six hundred seventy-five thousand, five hundred twenty".