11321213906800 has 480 divisors, whose sum is σ = 32839785262080. Its totient is φ = 3666803712000.

The previous prime is 11321213906773. The next prime is 11321213906813. The reversal of 11321213906800 is 860931212311.

It is a self number, because there is not a number n which added to its sum of digits gives 11321213906800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881447236 + ... + 2881451164.

It is an arithmetic number, because the mean of its divisors is an integer number (68416219296).

Almost surely, 2^{11321213906800} is an apocalyptic number.

11321213906800 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 11321213906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419892631040).

11321213906800 is an abundant number, since it is smaller than the sum of its proper divisors (21518571355280).

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

11321213906800 is a wasteful number, since it uses less digits than its factorization.

11321213906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 11321213906800 in words is "eleven trillion, three hundred twenty-one billion, two hundred thirteen million, nine hundred six thousand, eight hundred".