12804493296480 has 192 divisors, whose sum is σ = 40953012585408. Its totient is φ = 3362293186560.

The previous prime is 12804493296479. The next prime is 12804493296521. The reversal of 12804493296480 is 8469239440821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21323550 + ... + 21915810.

It is an arithmetic number, because the mean of its divisors is an integer number (213296940549).

Almost surely, 2^{12804493296480} is an apocalyptic number.

12804493296480 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 12804493296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476506292704).

12804493296480 is an abundant number, since it is smaller than the sum of its proper divisors (28148519288928).

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

12804493296480 is a wasteful number, since it uses less digits than its factorization.

12804493296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592969 (or 592961 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 12804493296480 in words is "twelve trillion, eight hundred four billion, four hundred ninety-three million, two hundred ninety-six thousand, four hundred eighty".