11822303808000 has 2240 divisors, whose sum is σ = 51541878465792. Its totient is φ = 2647373414400.

The previous prime is 11822303807981. The next prime is 11822303808013. The reversal of 11822303808000 is 80830322811.

11822303808000 is a `hidden beast` number, since 1 + 182 + 23 + 0 + 380 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17309375659 + ... + 17309376341.

Almost surely, 2^{11822303808000} is an apocalyptic number.

11822303808000 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 11822303808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770939232896).

11822303808000 is an abundant number, since it is smaller than the sum of its proper divisors (39719574657792).

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

11822303808000 is an frugal number, since it uses more digits than its factorization.

11822303808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11822303808000 in words is "eleven trillion, eight hundred twenty-two billion, three hundred three million, eight hundred eight thousand".