11218516800 has 336 divisors, whose sum is σ = 38647859712. Its totient is φ = 2843596800.

The previous prime is 11218516787. The next prime is 11218516843. The reversal of 11218516800 is 861581211.

11218516800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 33892635 + ... + 33892965.

It is an arithmetic number, because the mean of its divisors is an integer number (115023392).

Almost surely, 2^11218516800 is an apocalyptic number.

11218516800 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 11218516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323929856).

11218516800 is an abundant number, since it is smaller than the sum of its proper divisors (27429342912).

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

11218516800 is a wasteful number, since it uses less digits than its factorization.

11218516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 33.

The spelling of 11218516800 in words is "eleven billion, two hundred eighteen million, five hundred sixteen thousand, eight hundred".