11871968000 has 216 divisors, whose sum is σ = 30507632064. Its totient is φ = 4603392000.

The previous prime is 11871967993. The next prime is 11871968033. The reversal of 11871968000 is 86917811.

11871968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43807865 + ... + 43808135.

Almost surely, 2^11871968000 is an apocalyptic number.

11871968000 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 11871968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253816032).

11871968000 is an abundant number, since it is smaller than the sum of its proper divisors (18635664064).

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

11871968000 is an frugal number, since it uses more digits than its factorization.

11871968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 41.

The spelling of 11871968000 in words is "eleven billion, eight hundred seventy-one million, nine hundred sixty-eight thousand".