11984896000 has 544 divisors, whose sum is σ = 39258385920. Its totient is φ = 3538944000.

The previous prime is 11984895997. The next prime is 11984896009. The reversal of 11984896000 is 69848911.

It is not an unprimeable number, because it can be changed into a prime (11984896009) 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, 630783991 + ... + 630784009.

Almost surely, 2^11984896000 is an apocalyptic number.

11984896000 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 11984896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629192960).

11984896000 is an abundant number, since it is smaller than the sum of its proper divisors (27273489920).

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

11984896000 is an frugal number, since it uses more digits than its factorization.

11984896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 11984896000 in words is "eleven billion, nine hundred eighty-four million, eight hundred ninety-six thousand".