12808177704 has 256 divisors, whose sum is σ = 43024128000. Its totient is φ = 3448811520.

The previous prime is 12808177673. The next prime is 12808177717. The reversal of 12808177704 is 40777180821.

12808177704 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-4 number, since 4×12808177704⁴ (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12808177704.

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 63 ways as a sum of consecutive naturals, for example, 6060552 + ... + 6062664.

It is an arithmetic number, because the mean of its divisors is an integer number (168063000).

Almost surely, 2^12808177704 is an apocalyptic number.

12808177704 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 12808177704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21512064000).

12808177704 is an abundant number, since it is smaller than the sum of its proper divisors (30215950296).

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

12808177704 is a wasteful number, since it uses less digits than its factorization.

12808177704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 12808177704 in words is "twelve billion, eight hundred eight million, one hundred seventy-seven thousand, seven hundred four".