11808781168800 has 3456 divisors, whose sum is σ = 53851977252864. Its totient is φ = 2189721600000.

The previous prime is 11808781168741. The next prime is 11808781168813. The reversal of 11808781168800 is 886118780811.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 78203848725 + ... + 78203848875.

It is an arithmetic number, because the mean of its divisors is an integer number (15582169344).

Almost surely, 2^{11808781168800} is an apocalyptic number.

11808781168800 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 11808781168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925988626432).

11808781168800 is an abundant number, since it is smaller than the sum of its proper divisors (42043196084064).

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

11808781168800 is a wasteful number, since it uses less digits than its factorization.

11808781168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 57.

The spelling of 11808781168800 in words is "eleven trillion, eight hundred eight billion, seven hundred eighty-one million, one hundred sixty-eight thousand, eight hundred".