115450225920 has 1296 divisors, whose sum is σ = 472342171392. Its totient is φ = 25887375360.

The previous prime is 115450225889. The next prime is 115450225921. The reversal of 115450225920 is 29522054511.

115450225920 is a `hidden beast` number, since 1 + 1 + 5 + 45 + 0 + 22 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115450225921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1626059485 + ... + 1626059555.

It is an arithmetic number, because the mean of its divisors is an integer number (364461552).

Almost surely, 2^115450225920 is an apocalyptic number.

115450225920 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 115450225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236171085696).

115450225920 is an abundant number, since it is smaller than the sum of its proper divisors (356891945472).

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

115450225920 is a wasteful number, since it uses less digits than its factorization.

115450225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 115450225920 in words is "one hundred fifteen billion, four hundred fifty million, two hundred twenty-five thousand, nine hundred twenty".