115435393920 has 1280 divisors, whose sum is σ = 520378214400. Its totient is φ = 23886213120.

The previous prime is 115435393919. The next prime is 115435393921. The reversal of 115435393920 is 29393534511.

115435393920 is a `hidden beast` number, since 1 + 1 + 543 + 53 + 9 + 39 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (115435393919) and next prime (115435393921).

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 (115435393921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 482993161 + ... + 482993399.

It is an arithmetic number, because the mean of its divisors is an integer number (406545480).

Almost surely, 2^115435393920 is an apocalyptic number.

115435393920 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 115435393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260189107200).

115435393920 is an abundant number, since it is smaller than the sum of its proper divisors (404942820480).

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

115435393920 is an equidigital number, since it uses as much as digits as its factorization.

115435393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 115435393920 in words is "one hundred fifteen billion, four hundred thirty-five million, three hundred ninety-three thousand, nine hundred twenty".