11264434560 has 128 divisors (see below), whose sum is σ = 39894933600. Its totient is φ = 3003844608.

The previous prime is 11264434547. The next prime is 11264434607. The reversal of 11264434560 is 6543446211.

11264434560 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 4 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 308659 + ... + 343218.

Almost surely, 2^11264434560 is an apocalyptic number.

11264434560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264434560 is an abundant number, since it is smaller than the sum of its proper divisors (28630499040).

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

11264434560 is an equidigital number, since it uses as much as digits as its factorization.

11264434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651905 (or 651887 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11264434560 in words is "eleven billion, two hundred sixty-four million, four hundred thirty-four thousand, five hundred sixty".