12666170880 has 560 divisors, whose sum is σ = 49752712944. Its totient is φ = 3065610240.

The previous prime is 12666170879. The next prime is 12666170911. The reversal of 12666170880 is 8807166621.

It is a happy number.

12666170880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12666170880² (a number of 21 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 20528332 + ... + 20528948.

Almost surely, 2^12666170880 is an apocalyptic number.

12666170880 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 12666170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24876356472).

12666170880 is an abundant number, since it is smaller than the sum of its proper divisors (37086542064).

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

12666170880 is an frugal number, since it uses more digits than its factorization.

12666170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12666170880 in words is "twelve billion, six hundred sixty-six million, one hundred seventy thousand, eight hundred eighty".