11085244800 has 384 divisors, whose sum is σ = 41944815360. Its totient is φ = 2520637440.

The previous prime is 11085244789. The next prime is 11085244801. The reversal of 11085244800 is 844258011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085244801) 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, 19689319 + ... + 19689881.

It is an arithmetic number, because the mean of its divisors is an integer number (109231290).

Almost surely, 2^11085244800 is an apocalyptic number.

11085244800 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 11085244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972407680).

11085244800 is an abundant number, since it is smaller than the sum of its proper divisors (30859570560).

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

11085244800 is a wasteful number, since it uses less digits than its factorization.

11085244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 11085244800 in words is "eleven billion, eighty-five million, two hundred forty-four thousand, eight hundred".