12795835567729 has 2 divisors, whose sum is σ = 12795835567730. Its totient is φ = 12795835567728.

The previous prime is 12795835567687. The next prime is 12795835567733. The reversal of 12795835567729 is 92776553859721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9598390908129 + 3197444659600 = 3098127^2 + 1788140^2 .

It is a cyclic number.

It is not a de Polignac number, because 12795835567729 - 2¹⁵ = 12795835534961 is a prime.

It is not a weakly prime, because it can be changed into another prime (12795835567759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6397917783864 + 6397917783865.

It is an arithmetic number, because the mean of its divisors is an integer number (6397917783865).

Almost surely, 2^{12795835567729} is an apocalyptic number.

It is an amenable number.

12795835567729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12795835567729 is an equidigital number, since it uses as much as digits as its factorization.

12795835567729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2000376000, while the sum is 76.

The spelling of 12795835567729 in words is "twelve trillion, seven hundred ninety-five billion, eight hundred thirty-five million, five hundred sixty-seven thousand, seven hundred twenty-nine".