11679921579186 has 192 divisors, whose sum is σ = 32215782144000. Its totient is φ = 3161481675408.

The previous prime is 11679921579181. The next prime is 11679921579187. The reversal of 11679921579186 is 68197512997611.

11679921579186 is a `hidden beast` number, since 1 + 16 + 7 + 9 + 9 + 21 + 579 + 18 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11679921579181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323411 + ... + 5011113.

It is an arithmetic number, because the mean of its divisors is an integer number (167790532000).

Almost surely, 2^{11679921579186} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11679921579186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107891072000).

11679921579186 is an abundant number, since it is smaller than the sum of its proper divisors (20535860564814).

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

11679921579186 is an equidigital number, since it uses as much as digits as its factorization.

11679921579186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687760 (or 3687734 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 72.

The spelling of 11679921579186 in words is "eleven trillion, six hundred seventy-nine billion, nine hundred twenty-one million, five hundred seventy-nine thousand, one hundred eighty-six".