12816408896 has 56 divisors (see below), whose sum is σ = 25796077440. Its totient is φ = 6316876800.

The previous prime is 12816408859. The next prime is 12816408901. The reversal of 12816408896 is 69880461821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3845951 + ... + 3849281.

It is an arithmetic number, because the mean of its divisors is an integer number (460644240).

Almost surely, 2^12816408896 is an apocalyptic number.

12816408896 is a gapful number since it is divisible by the number (16) 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 12816408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898038720).

12816408896 is an abundant number, since it is smaller than the sum of its proper divisors (12979668544).

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

12816408896 is an equidigital number, since it uses as much as digits as its factorization.

12816408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 12816408896 in words is "twelve billion, eight hundred sixteen million, four hundred eight thousand, eight hundred ninety-six".