12806484480 has 320 divisors, whose sum is σ = 46609516800. Its totient is φ = 3331031040.

The previous prime is 12806484469. The next prime is 12806484533. The reversal of 12806484480 is 8448460821.

12806484480 is a `hidden beast` number, since 12 + 80 + 6 + 4 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831661 + ... + 2836179.

It is an arithmetic number, because the mean of its divisors is an integer number (145654740).

Almost surely, 2^12806484480 is an apocalyptic number.

12806484480 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 12806484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304758400).

12806484480 is an abundant number, since it is smaller than the sum of its proper divisors (33803032320).

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

12806484480 is an equidigital number, since it uses as much as digits as its factorization.

12806484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12806484480 in words is "twelve billion, eight hundred six million, four hundred eighty-four thousand, four hundred eighty".