11227507200 has 1800 divisors, whose sum is σ = 55118589372. Its totient is φ = 2229534720.

The previous prime is 11227507147. The next prime is 11227507261. The reversal of 11227507200 is 270572211.

11227507200 is a `hidden beast` number, since 112 + 27 + 507 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3536918784 + 7690588416 = 59472^2 + 87696^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 660441592 + ... + 660441608.

Almost surely, 2^11227507200 is an apocalyptic number.

11227507200 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 11227507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27559294686).

11227507200 is an abundant number, since it is smaller than the sum of its proper divisors (43891082172).

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

11227507200 is a wasteful number, since it uses less digits than its factorization.

11227507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 11227507200 in words is "eleven billion, two hundred twenty-seven million, five hundred seven thousand, two hundred".