12866810880 has 1056 divisors, whose sum is σ = 55199434752. Its totient is φ = 2497904640.

The previous prime is 12866810861. The next prime is 12866810881. The reversal of 12866810880 is 8801866821.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12866810881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299228139 + ... + 299228181.

It is an arithmetic number, because the mean of its divisors is an integer number (52272192).

Almost surely, 2^12866810880 is an apocalyptic number.

12866810880 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 12866810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599717376).

12866810880 is an abundant number, since it is smaller than the sum of its proper divisors (42332623872).

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

12866810880 is a wasteful number, since it uses less digits than its factorization.

12866810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 12866810880 in words is "twelve billion, eight hundred sixty-six million, eight hundred ten thousand, eight hundred eighty".