115398328320 has 1440 divisors, whose sum is σ = 494644340736. Its totient is φ = 25480396800.

The previous prime is 115398328319. The next prime is 115398328349. The reversal of 115398328320 is 23823893511.

115398328320 is a `hidden beast` number, since 1 + 1 + 539 + 8 + 32 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 3722526705 + ... + 3722526735.

Almost surely, 2^115398328320 is an apocalyptic number.

115398328320 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 115398328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247322170368).

115398328320 is an abundant number, since it is smaller than the sum of its proper divisors (379246012416).

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

115398328320 is an equidigital number, since it uses as much as digits as its factorization.

115398328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 115398328320 in words is "one hundred fifteen billion, three hundred ninety-eight million, three hundred twenty-eight thousand, three hundred twenty".