11982968928 has 240 divisors, whose sum is σ = 41215426560. Its totient is φ = 3343866624.

The previous prime is 11982968917. The next prime is 11982968953. The reversal of 11982968928 is 82986928911.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 772513 + ... + 787871.

It is an arithmetic number, because the mean of its divisors is an integer number (171730944).

Almost surely, 2^11982968928 is an apocalyptic number.

11982968928 is a gapful number since it is divisible by the number (18) 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 11982968928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607713280).

11982968928 is an abundant number, since it is smaller than the sum of its proper divisors (29232457632).

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

11982968928 is a wasteful number, since it uses less digits than its factorization.

11982968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15431 (or 15414 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 11982968928 in words is "eleven billion, nine hundred eighty-two million, nine hundred sixty-eight thousand, nine hundred twenty-eight".