11904579716112 has 320 divisors, whose sum is σ = 35477386801920. Its totient is φ = 3866901534720.

The previous prime is 11904579716093. The next prime is 11904579716119. The reversal of 11904579716112 is 21161797540911.

11904579716112 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 4 + 579 + 7 + 1 + 61 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11904579716119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367238063 + ... + 1367246769.

It is an arithmetic number, because the mean of its divisors is an integer number (110866833756).

Almost surely, 2^{11904579716112} is an apocalyptic number.

11904579716112 is a gapful number since it is divisible by the number (12) 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 11904579716112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738693400960).

11904579716112 is an abundant number, since it is smaller than the sum of its proper divisors (23572807085808).

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

11904579716112 is an frugal number, since it uses more digits than its factorization.

11904579716112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 11904579716112 in words is "eleven trillion, nine hundred four billion, five hundred seventy-nine million, seven hundred sixteen thousand, one hundred twelve".