11227520304 has 720 divisors, whose sum is σ = 43534394176. Its totient is φ = 2627665920.

The previous prime is 11227520281. The next prime is 11227520321. The reversal of 11227520304 is 40302572211.

11227520304 is a `hidden beast` number, since 112 + 27 + 520 + 3 + 0 + 4 = 666.

11227520304 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 143 ways as a sum of consecutive naturals, for example, 115747584 + ... + 115747680.

Almost surely, 2^11227520304 is an apocalyptic number.

11227520304 is a gapful number since it is divisible by the number (14) 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 11227520304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767197088).

11227520304 is an abundant number, since it is smaller than the sum of its proper divisors (32306873872).

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

11227520304 is a wasteful number, since it uses less digits than its factorization.

11227520304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 11227520304 in words is "eleven billion, two hundred twenty-seven million, five hundred twenty thousand, three hundred four".