6005080268705 has 24 divisors (see below), whose sum is σ = 8385755293440. Its totient is φ = 4116220264800.

The previous prime is 6005080268701. The next prime is 6005080268749. The reversal of 6005080268705 is 5078620805006.

6005080268705 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6005080268705 - 2² = 6005080268701 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6005080268705.

It is not an unprimeable number, because it can be changed into a prime (6005080268701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3957521 + ... + 5260430.

It is an arithmetic number, because the mean of its divisors is an integer number (349406470560).

Almost surely, 2^{6005080268705} is an apocalyptic number.

It is an amenable number.

6005080268705 is a deficient number, since it is larger than the sum of its proper divisors (2380675024735).

6005080268705 is a wasteful number, since it uses less digits than its factorization.

6005080268705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220629 (or 9220622 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 6005080268705 in words is "six trillion, five billion, eighty million, two hundred sixty-eight thousand, seven hundred five".