25966292290559 has 16 divisors (see below), whose sum is σ = 27616975452000. Its totient is φ = 24344557257600.

The previous prime is 25966292290537. The next prime is 25966292290571. The reversal of 25966292290559 is 95509229266952.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 25966292290559 - 2²⁸ = 25966023855103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25966292290492 and 25966292290501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25966292290579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5845292 + ... + 9279009.

It is an arithmetic number, because the mean of its divisors is an integer number (1726060965750).

Almost surely, 2^{25966292290559} is an apocalyptic number.

25966292290559 is a deficient number, since it is larger than the sum of its proper divisors (1650683161441).

25966292290559 is a wasteful number, since it uses less digits than its factorization.

25966292290559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15125258.

The product of its (nonzero) digits is 472392000, while the sum is 71.

The spelling of 25966292290559 in words is "twenty-five trillion, nine hundred sixty-six billion, two hundred ninety-two million, two hundred ninety thousand, five hundred fifty-nine".