12805085422080 has 3200 divisors, whose sum is σ = 58097024409600. Its totient is φ = 2662900531200.

The previous prime is 12805085422079. The next prime is 12805085422159. The reversal of 12805085422080 is 8022458050821.

12805085422080 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 0 + 8 + 542 + 20 + 80 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 97748743615 + ... + 97748743745.

It is an arithmetic number, because the mean of its divisors is an integer number (18155320128).

Almost surely, 2^{12805085422080} is an apocalyptic number.

12805085422080 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 12805085422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29048512204800).

12805085422080 is an abundant number, since it is smaller than the sum of its proper divisors (45291938987520).

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

12805085422080 is an equidigital number, since it uses as much as digits as its factorization.

12805085422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 12805085422080 in words is "twelve trillion, eight hundred five billion, eighty-five million, four hundred twenty-two thousand, eighty".