11681968492800 has 1296 divisors, whose sum is σ = 44837380224000. Its totient is φ = 2894541619200.

The previous prime is 11681968492769. The next prime is 11681968492813. The reversal of 11681968492800 is 829486918611.

11681968492800 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 9 + 68 + 492 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24388242961 + ... + 24388243439.

It is an arithmetic number, because the mean of its divisors is an integer number (34596744000).

Almost surely, 2^{11681968492800} is an apocalyptic number.

11681968492800 is a gapful number since it is divisible by the number (10) 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 11681968492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418690112000).

11681968492800 is an abundant number, since it is smaller than the sum of its proper divisors (33155411731200).

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

11681968492800 is a wasteful number, since it uses less digits than its factorization.

11681968492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 11681968492800 in words is "eleven trillion, six hundred eighty-one billion, nine hundred sixty-eight million, four hundred ninety-two thousand, eight hundred".