115205344000 has 288 divisors, whose sum is σ = 301678505856. Its totient is φ = 43753881600.

The previous prime is 115205343959. The next prime is 115205344003. The reversal of 115205344000 is 443502511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (115205344003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115551502 + ... + 115552498.

It is an arithmetic number, because the mean of its divisors is an integer number (1047494812).

Almost surely, 2^115205344000 is an apocalyptic number.

115205344000 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 115205344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150839252928).

115205344000 is an abundant number, since it is smaller than the sum of its proper divisors (186473161856).

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

115205344000 is an equidigital number, since it uses as much as digits as its factorization.

115205344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 115205344000 its reverse (443502511), we get a palindrome (115648846511).

The spelling of 115205344000 in words is "one hundred fifteen billion, two hundred five million, three hundred forty-four thousand".