115352388480 has 512 divisors, whose sum is σ = 434710748160. Its totient is φ = 25472139264.

The previous prime is 115352388341. The next prime is 115352388499. The reversal of 115352388480 is 84883253511.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 47724232 + ... + 47726648.

It is an arithmetic number, because the mean of its divisors is an integer number (849044430).

Almost surely, 2^115352388480 is an apocalyptic number.

115352388480 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 115352388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217355374080).

115352388480 is an abundant number, since it is smaller than the sum of its proper divisors (319358359680).

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

115352388480 is a wasteful number, since it uses less digits than its factorization.

115352388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 115352388480 in words is "one hundred fifteen billion, three hundred fifty-two million, three hundred eighty-eight thousand, four hundred eighty".