11289247200 has 648 divisors, whose sum is σ = 50535281160. Its totient is φ = 2345011200.

The previous prime is 11289247199. The next prime is 11289247253. The reversal of 11289247200 is 274298211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3879346 + ... + 3882254.

It is an arithmetic number, because the mean of its divisors is an integer number (77986545).

Almost surely, 2^11289247200 is an apocalyptic number.

11289247200 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 11289247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267640580).

11289247200 is an abundant number, since it is smaller than the sum of its proper divisors (39246033960).

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

11289247200 is a wasteful number, since it uses less digits than its factorization.

11289247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11289247200 in words is "eleven billion, two hundred eighty-nine million, two hundred forty-seven thousand, two hundred".