11321604000 has 288 divisors, whose sum is σ = 45921447936. Its totient is φ = 2587737600.

The previous prime is 11321603947. The next prime is 11321604011. The reversal of 11321604000 is 40612311.

It is a happy number.

11321604000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 229537 + ... + 274463.

It is an arithmetic number, because the mean of its divisors is an integer number (159449472).

Almost surely, 2^11321604000 is an apocalyptic number.

11321604000 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 11321604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22960723968).

11321604000 is an abundant number, since it is smaller than the sum of its proper divisors (34599843936).

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

11321604000 is a wasteful number, since it uses less digits than its factorization.

11321604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44965 (or 44944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 11321604000 in words is "eleven billion, three hundred twenty-one million, six hundred four thousand".