11921800968 has 320 divisors, whose sum is σ = 41814115200. Its totient is φ = 3083028480.

The previous prime is 11921800951. The next prime is 11921800981. The reversal of 11921800968 is 86900812911.

It is a Cunningham number, because it is equal to 109187²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16814598 + ... + 16815306.

It is an arithmetic number, because the mean of its divisors is an integer number (130669110).

Almost surely, 2^11921800968 is an apocalyptic number.

11921800968 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 11921800968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907057600).

11921800968 is an abundant number, since it is smaller than the sum of its proper divisors (29892314232).

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

11921800968 is a wasteful number, since it uses less digits than its factorization.

11921800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 11921800968 in words is "eleven billion, nine hundred twenty-one million, eight hundred thousand, nine hundred sixty-eight".