115506155520 has 1300 divisors, whose sum is σ = 499698343980. Its totient is φ = 25491013632.

The previous prime is 115506155497. The next prime is 115506155533. The reversal of 115506155520 is 25551605511.

115506155520 is a `hidden beast` number, since 1 + 1 + 550 + 6 + 1 + 55 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50982027264 + 64524128256 = 225792^2 + 254016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3982970866 + ... + 3982970894.

Almost surely, 2^115506155520 is an apocalyptic number.

115506155520 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 115506155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249849171990).

115506155520 is an abundant number, since it is smaller than the sum of its proper divisors (384192188460).

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

115506155520 is an frugal number, since it uses more digits than its factorization.

115506155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 115506155520 in words is "one hundred fifteen billion, five hundred six million, one hundred fifty-five thousand, five hundred twenty".