115165670400 has 1584 divisors, whose sum is σ = 498284670240. Its totient is φ = 26276659200.

The previous prime is 115165670371. The next prime is 115165670413. The reversal of 115165670400 is 4076561511.

It is a happy number.

115165670400 is a `hidden beast` number, since 1 + 1 + 51 + 6 + 567 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6774451192 + ... + 6774451208.

Almost surely, 2^115165670400 is an apocalyptic number.

115165670400 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 115165670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249142335120).

115165670400 is an abundant number, since it is smaller than the sum of its proper divisors (383118999840).

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

115165670400 is an equidigital number, since it uses as much as digits as its factorization.

115165670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 115165670400 in words is "one hundred fifteen billion, one hundred sixty-five million, six hundred seventy thousand, four hundred".