115426321920 has 960 divisors, whose sum is σ = 510477327360. Its totient is φ = 24341741568.

The previous prime is 115426321861. The next prime is 115426321939. The reversal of 115426321920 is 29123624511.

115426321920 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 2 + 632 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 56608261 + ... + 56610299.

It is an arithmetic number, because the mean of its divisors is an integer number (531747216).

Almost surely, 2^115426321920 is an apocalyptic number.

115426321920 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 115426321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255238663680).

115426321920 is an abundant number, since it is smaller than the sum of its proper divisors (395051005440).

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

115426321920 is an equidigital number, since it uses as much as digits as its factorization.

115426321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 115426321920 in words is "one hundred fifteen billion, four hundred twenty-six million, three hundred twenty-one thousand, nine hundred twenty".