11821680000 has 640 divisors, whose sum is σ = 47064309600. Its totient is φ = 2903040000.

The previous prime is 11821679993. The next prime is 11821680011. The reversal of 11821680000 is 8612811.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28079790 + ... + 28080210.

Almost surely, 2^11821680000 is an apocalyptic number.

11821680000 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 11821680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532154800).

11821680000 is an abundant number, since it is smaller than the sum of its proper divisors (35242629600).

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

11821680000 is an equidigital number, since it uses as much as digits as its factorization.

11821680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11821680000 in words is "eleven billion, eight hundred twenty-one million, six hundred eighty thousand".