11227584960 has 560 divisors, whose sum is σ = 41955598080. Its totient is φ = 2846638080.

The previous prime is 11227584943. The next prime is 11227584971. The reversal of 11227584960 is 6948572211.

11227584960 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 584 + 9 + 60 = 666.

11227584960 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 (45).

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 79 ways as a sum of consecutive naturals, for example, 71513202 + ... + 71513358.

Almost surely, 2^11227584960 is an apocalyptic number.

11227584960 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 11227584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977799040).

11227584960 is an abundant number, since it is smaller than the sum of its proper divisors (30728013120).

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

11227584960 is a wasteful number, since it uses less digits than its factorization.

11227584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11227584960 in words is "eleven billion, two hundred twenty-seven million, five hundred eighty-four thousand, nine hundred sixty".