11808512000 has 192 divisors, whose sum is σ = 29743459200. Its totient is φ = 4679270400.

The previous prime is 11808511999. The next prime is 11808512021. The reversal of 11808512000 is 21580811.

11808512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 49407881 + ... + 49408119.

It is an arithmetic number, because the mean of its divisors is an integer number (154913850).

Almost surely, 2^11808512000 is an apocalyptic number.

11808512000 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 11808512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871729600).

11808512000 is an abundant number, since it is smaller than the sum of its proper divisors (17934947200).

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

11808512000 is an equidigital number, since it uses as much as digits as its factorization.

11808512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 26.

The spelling of 11808512000 in words is "eleven billion, eight hundred eight million, five hundred twelve thousand".