12804511104 has 640 divisors, whose sum is σ = 48743988480. Its totient is φ = 3239792640.

The previous prime is 12804511051. The next prime is 12804511121. The reversal of 12804511104 is 40111540821.

It is a happy number.

12804511104 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 2×12804511104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 34328262 + ... + 34328634.

It is an arithmetic number, because the mean of its divisors is an integer number (76162482).

Almost surely, 2^12804511104 is an apocalyptic number.

12804511104 is a gapful number since it is divisible by the number (14) 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 12804511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371994240).

12804511104 is an abundant number, since it is smaller than the sum of its proper divisors (35939477376).

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

12804511104 is a wasteful number, since it uses less digits than its factorization.

12804511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 12804511104 in words is "twelve billion, eight hundred four million, five hundred eleven thousand, one hundred four".