11979208800 has 576 divisors, whose sum is σ = 47960055360. Its totient is φ = 2866544640.

The previous prime is 11979208789. The next prime is 11979208817. The reversal of 11979208800 is 880297911.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10389024 + ... + 10390176.

It is an arithmetic number, because the mean of its divisors is an integer number (83263985).

Almost surely, 2^11979208800 is an apocalyptic number.

11979208800 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 11979208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980027680).

11979208800 is an abundant number, since it is smaller than the sum of its proper divisors (35980846560).

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

11979208800 is a wasteful number, since it uses less digits than its factorization.

11979208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11979208800 in words is "eleven billion, nine hundred seventy-nine million, two hundred eight thousand, eight hundred".