2115109324800 has 432 divisors, whose sum is σ = 7855541431920. Its totient is φ = 564025835520.

The previous prime is 2115109324799. The next prime is 2115109324873. The reversal of 2115109324800 is 84239015112.

2115109324800 is a `hidden beast` number, since 2 + 11 + 510 + 93 + 2 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12356599 + ... + 12526601.

It is an arithmetic number, because the mean of its divisors is an integer number (18184123685).

Almost surely, 2^{2115109324800} is an apocalyptic number.

2115109324800 is a gapful number since it is divisible by the number (20) 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 2115109324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927770715960).

2115109324800 is an abundant number, since it is smaller than the sum of its proper divisors (5740432107120).

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

2115109324800 is an equidigital number, since it uses as much as digits as its factorization.

2115109324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170050 (or 170013 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2115109324800 in words is "two trillion, one hundred fifteen billion, one hundred nine million, three hundred twenty-four thousand, eight hundred".