26160281066401 has 2 divisors, whose sum is σ = 26160281066402. Its totient is φ = 26160281066400.

The previous prime is 26160281066287. The next prime is 26160281066417. The reversal of 26160281066401 is 10466018206162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25965129168801 + 195151897600 = 5095599^2 + 441760^2 .

It is a cyclic number.

It is not a de Polignac number, because 26160281066401 - 2⁷ = 26160281066273 is a prime.

It is not a weakly prime, because it can be changed into another prime (26160281066471) 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 as a sum of consecutive naturals, namely, 13080140533200 + 13080140533201.

It is an arithmetic number, because the mean of its divisors is an integer number (13080140533201).

Almost surely, 2^{26160281066401} is an apocalyptic number.

It is an amenable number.

26160281066401 is a deficient number, since it is larger than the sum of its proper divisors (1).

26160281066401 is an equidigital number, since it uses as much as digits as its factorization.

26160281066401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 26160281066401 in words is "twenty-six trillion, one hundred sixty billion, two hundred eighty-one million, sixty-six thousand, four hundred one".