11971168000 has 288 divisors, whose sum is σ = 33059819520. Its totient is φ = 4282880000.

The previous prime is 11971167953. The next prime is 11971168003. The reversal of 11971168000 is 86117911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971168003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24991761 + ... + 24992239.

It is an arithmetic number, because the mean of its divisors is an integer number (114791040).

Almost surely, 2^11971168000 is an apocalyptic number.

11971168000 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 11971168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529909760).

11971168000 is an abundant number, since it is smaller than the sum of its proper divisors (21088651520).

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

11971168000 is an equidigital number, since it uses as much as digits as its factorization.

11971168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

It can be divided in two parts, 11971 and 168000, that added together give a palindrome (179971).

The spelling of 11971168000 in words is "eleven billion, nine hundred seventy-one million, one hundred sixty-eight thousand".