12804555456 has 672 divisors, whose sum is σ = 48284221440. Its totient is φ = 3147724800.

The previous prime is 12804555433. The next prime is 12804555473. The reversal of 12804555456 is 65455540821.

12804555456 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 45 + 554 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92119035 + ... + 92119173.

It is an arithmetic number, because the mean of its divisors is an integer number (71851520).

Almost surely, 2^12804555456 is an apocalyptic number.

12804555456 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 12804555456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24142110720).

12804555456 is an abundant number, since it is smaller than the sum of its proper divisors (35479665984).

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

12804555456 is a wasteful number, since it uses less digits than its factorization.

12804555456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 12804555456 in words is "twelve billion, eight hundred four million, five hundred fifty-five thousand, four hundred fifty-six".