115933204800 has 1344 divisors, whose sum is σ = 507967488000. Its totient is φ = 25165209600.

The previous prime is 115933204771. The next prime is 115933204843. The reversal of 115933204800 is 8402339511.

115933204800 is a `hidden beast` number, since 1 + 1 + 593 + 3 + 20 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 778075126 + ... + 778075274.

It is an arithmetic number, because the mean of its divisors is an integer number (377952000).

Almost surely, 2^115933204800 is an apocalyptic number.

115933204800 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 115933204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983744000).

115933204800 is an abundant number, since it is smaller than the sum of its proper divisors (392034283200).

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

115933204800 is a wasteful number, since it uses less digits than its factorization.

115933204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 115933204800 in words is "one hundred fifteen billion, nine hundred thirty-three million, two hundred four thousand, eight hundred".