11966989200 has 240 divisors, whose sum is σ = 39806618880. Its totient is φ = 3069480960.

The previous prime is 11966989189. The next prime is 11966989201. The reversal of 11966989200 is 298966911.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (11966989201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12771132 + ... + 12772068.

It is an arithmetic number, because the mean of its divisors is an integer number (165860912).

Almost surely, 2^11966989200 is an apocalyptic number.

11966989200 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 11966989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903309440).

11966989200 is an abundant number, since it is smaller than the sum of its proper divisors (27839629680).

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

11966989200 is a wasteful number, since it uses less digits than its factorization.

11966989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 11966989200 in words is "eleven billion, nine hundred sixty-six million, nine hundred eighty-nine thousand, two hundred".