11000818800 has 180 divisors, whose sum is σ = 38242072440. Its totient is φ = 2928468480.

The previous prime is 11000818781. The next prime is 11000818811. The reversal of 11000818800 is 881800011.

11000818800 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 (180).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2370082 + ... + 2374718.

It is an arithmetic number, because the mean of its divisors is an integer number (212455958).

Almost surely, 2^11000818800 is an apocalyptic number.

11000818800 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 11000818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121036220).

11000818800 is an abundant number, since it is smaller than the sum of its proper divisors (27241253640).

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

11000818800 is a wasteful number, since it uses less digits than its factorization.

11000818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 11000818800 in words is "eleven billion, eight hundred eighteen thousand, eight hundred".