11982886272 has 192 divisors, whose sum is σ = 39486370560. Its totient is φ = 3416878080.

The previous prime is 11982886259. The next prime is 11982886273. The reversal of 11982886272 is 27268828911.

11982886272 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 2 + 8 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11982886273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5183997 + ... + 5186307.

It is an arithmetic number, because the mean of its divisors is an integer number (205658180).

Almost surely, 2^11982886272 is an apocalyptic number.

11982886272 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 11982886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19743185280).

11982886272 is an abundant number, since it is smaller than the sum of its proper divisors (27503484288).

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

11982886272 is a wasteful number, since it uses less digits than its factorization.

11982886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2966 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 11982886272 in words is "eleven billion, nine hundred eighty-two million, eight hundred eighty-six thousand, two hundred seventy-two".