115785946800 has 480 divisors, whose sum is σ = 452681740800. Its totient is φ = 27978255360.

The previous prime is 115785946789. The next prime is 115785946811. The reversal of 115785946800 is 8649587511.

It is a happy number.

115785946800 is a `hidden beast` number, since 1 + 1 + 578 + 5 + 9 + 4 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115785946789) and next prime (115785946811).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4707334 + ... + 4731866.

It is an arithmetic number, because the mean of its divisors is an integer number (943086960).

Almost surely, 2^115785946800 is an apocalyptic number.

115785946800 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 115785946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226340870400).

115785946800 is an abundant number, since it is smaller than the sum of its proper divisors (336895794000).

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

115785946800 is a wasteful number, since it uses less digits than its factorization.

115785946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24602 (or 24585 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 115785946800 in words is "one hundred fifteen billion, seven hundred eighty-five million, nine hundred forty-six thousand, eight hundred".