11664756280 has 96 divisors (see below), whose sum is σ = 26871717600. Its totient is φ = 4556994816.

The previous prime is 11664756263. The next prime is 11664756289. The reversal of 11664756280 is 8265746611.

It is a self number, because there is not a number n which added to its sum of digits gives 11664756280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664756289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29986326 + ... + 29986714.

It is an arithmetic number, because the mean of its divisors is an integer number (279913725).

Almost surely, 2^11664756280 is an apocalyptic number.

11664756280 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 11664756280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435858800).

11664756280 is an abundant number, since it is smaller than the sum of its proper divisors (15206961320).

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

11664756280 is a wasteful number, since it uses less digits than its factorization.

11664756280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 11664756280 in words is "eleven billion, six hundred sixty-four million, seven hundred fifty-six thousand, two hundred eighty".