11264447969280 has 2304 divisors, whose sum is σ = 47753890329600. Its totient is φ = 2517887877120.

The previous prime is 11264447969273. The next prime is 11264447969297. The reversal of 11264447969280 is 8296974446211.

11264447969280 is a `hidden beast` number, since 1 + 1 + 26 + 4 + 4 + 479 + 69 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18256803532 + ... + 18256804148.

It is an arithmetic number, because the mean of its divisors is an integer number (20726514900).

Almost surely, 2^{11264447969280} is an apocalyptic number.

11264447969280 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 11264447969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876945164800).

11264447969280 is an abundant number, since it is smaller than the sum of its proper divisors (36489442360320).

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

11264447969280 is a wasteful number, since it uses less digits than its factorization.

11264447969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 11264447969280 in words is "eleven trillion, two hundred sixty-four billion, four hundred forty-seven million, nine hundred sixty-nine thousand, two hundred eighty".