115384980480 has 1056 divisors, whose sum is σ = 475676947200. Its totient is φ = 23843635200.

The previous prime is 115384980461. The next prime is 115384980493. The reversal of 115384980480 is 84089483511.

115384980480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637485990 + ... + 637486170.

Almost surely, 2^115384980480 is an apocalyptic number.

115384980480 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 115384980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237838473600).

115384980480 is an abundant number, since it is smaller than the sum of its proper divisors (360291966720).

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

115384980480 is a wasteful number, since it uses less digits than its factorization.

115384980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 115384980480 in words is "one hundred fifteen billion, three hundred eighty-four million, nine hundred eighty thousand, four hundred eighty".