11903218800 has 480 divisors, whose sum is σ = 45227581440. Its totient is φ = 2643840000.

The previous prime is 11903218777. The next prime is 11903218801. The reversal of 11903218800 is 881230911.

11903218800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11903218801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7774035 + ... + 7775565.

It is an arithmetic number, because the mean of its divisors is an integer number (94224128).

Almost surely, 2^11903218800 is an apocalyptic number.

11903218800 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 11903218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613790720).

11903218800 is an abundant number, since it is smaller than the sum of its proper divisors (33324362640).

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

11903218800 is a wasteful number, since it uses less digits than its factorization.

11903218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 11903218800 in words is "eleven billion, nine hundred three million, two hundred eighteen thousand, eight hundred".