11979789966144 has 1792 divisors, whose sum is σ = 50272395264000. Its totient is φ = 2693924904960.

The previous prime is 11979789966113. The next prime is 11979789966187. The reversal of 11979789966144 is 44166998797911.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3385075927 + ... + 3385079465.

It is an arithmetic number, because the mean of its divisors is an integer number (28053792000).

Almost surely, 2^{11979789966144} is an apocalyptic number.

11979789966144 is a gapful number since it is divisible by the number (14) 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 11979789966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25136197632000).

11979789966144 is an abundant number, since it is smaller than the sum of its proper divisors (38292605297856).

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

11979789966144 is a wasteful number, since it uses less digits than its factorization.

11979789966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3697 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 81.

The spelling of 11979789966144 in words is "eleven trillion, nine hundred seventy-nine billion, seven hundred eighty-nine million, nine hundred sixty-six thousand, one hundred forty-four".