11904845944320 has 2400 divisors, whose sum is σ = 51377637370752. Its totient is φ = 2625500086272.

The previous prime is 11904845944259. The next prime is 11904845944403. The reversal of 11904845944320 is 2344954840911.

11904845944320 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 4 + 8 + 4 + 594 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 46322357632 + ... + 46322357888.

Almost surely, 2^{11904845944320} is an apocalyptic number.

11904845944320 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 11904845944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688818685376).

11904845944320 is an abundant number, since it is smaller than the sum of its proper divisors (39472791426432).

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

11904845944320 is an equidigital number, since it uses as much as digits as its factorization.

11904845944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11904845944320 in words is "eleven trillion, nine hundred four billion, eight hundred forty-five million, nine hundred forty-four thousand, three hundred twenty".