115166912000 has 160 divisors (see below), whose sum is σ = 328202297280. Its totient is φ = 39485644800.

The previous prime is 115166911967. The next prime is 115166912011. The reversal of 115166912000 is 219661511.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 319466 + ... + 576534.

It is an arithmetic number, because the mean of its divisors is an integer number (2051264358).

Almost surely, 2^115166912000 is an apocalyptic number.

115166912000 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 115166912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164101148640).

115166912000 is an abundant number, since it is smaller than the sum of its proper divisors (213035385280).

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

115166912000 is an frugal number, since it uses more digits than its factorization.

115166912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257109 (or 257083 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 115166912000 in words is "one hundred fifteen billion, one hundred sixty-six million, nine hundred twelve thousand".