115893348480 has 1536 divisors, whose sum is σ = 538920345600. Its totient is φ = 23111516160.

The previous prime is 115893348463. The next prime is 115893348491. The reversal of 115893348480 is 84843398511.

115893348480 is a `hidden beast` number, since 1 + 1 + 5 + 89 + 3 + 3 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 268893865 + ... + 268894295.

It is an arithmetic number, because the mean of its divisors is an integer number (350859600).

Almost surely, 2^115893348480 is an apocalyptic number.

115893348480 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 115893348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269460172800).

115893348480 is an abundant number, since it is smaller than the sum of its proper divisors (423026997120).

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

115893348480 is a wasteful number, since it uses less digits than its factorization.

115893348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 115893348480 in words is "one hundred fifteen billion, eight hundred ninety-three million, three hundred forty-eight thousand, four hundred eighty".