11971668800 has 168 divisors, whose sum is σ = 36256179456. Its totient is φ = 3788789760.

The previous prime is 11971668781. The next prime is 11971668809. The reversal of 11971668800 is 886617911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971668809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104489 + ... + 186711.

It is an arithmetic number, because the mean of its divisors is an integer number (215810592).

Almost surely, 2^11971668800 is an apocalyptic number.

11971668800 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 11971668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128089728).

11971668800 is an abundant number, since it is smaller than the sum of its proper divisors (24284510656).

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

11971668800 is a wasteful number, since it uses less digits than its factorization.

11971668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82265 (or 82250 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 47.

The spelling of 11971668800 in words is "eleven billion, nine hundred seventy-one million, six hundred sixty-eight thousand, eight hundred".