115329102426720 has 1152 divisors, whose sum is σ = 487040703012864. Its totient is φ = 24199948910592.

The previous prime is 115329102426673. The next prime is 115329102426779. The reversal of 115329102426720 is 27624201923511.

115329102426720 is a `hidden beast` number, since 1 + 1 + 5 + 329 + 1 + 0 + 242 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23331800569 + ... + 23331805511.

It is an arithmetic number, because the mean of its divisors is an integer number (422778388032).

Almost surely, 2^{115329102426720} is an apocalyptic number.

115329102426720 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 115329102426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243520351506432).

115329102426720 is an abundant number, since it is smaller than the sum of its proper divisors (371711600586144).

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

115329102426720 is a wasteful number, since it uses less digits than its factorization.

115329102426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 115329102426720 in words is "one hundred fifteen trillion, three hundred twenty-nine billion, one hundred two million, four hundred twenty-six thousand, seven hundred twenty".