25805939016689 has 16 divisors (see below), whose sum is σ = 27960475804800. Its totient is φ = 23675866980480.

The previous prime is 25805939016677. The next prime is 25805939016701. The reversal of 25805939016689 is 98661093950852.

It is an interprime number because it is at equal distance from previous prime (25805939016677) and next prime (25805939016701).

It is not a de Polignac number, because 25805939016689 - 2¹⁶ = 25805938951153 is a prime.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25805939010689) 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 15 ways as a sum of consecutive naturals, for example, 2898947 + ... + 7746984.

It is an arithmetic number, because the mean of its divisors is an integer number (1747529737800).

Almost surely, 2^{25805939016689} is an apocalyptic number.

It is an amenable number.

25805939016689 is a deficient number, since it is larger than the sum of its proper divisors (2154536788111).

25805939016689 is a wasteful number, since it uses less digits than its factorization.

25805939016689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647080.

The product of its (nonzero) digits is 251942400, while the sum is 71.

The spelling of 25805939016689 in words is "twenty-five trillion, eight hundred five billion, nine hundred thirty-nine million, sixteen thousand, six hundred eighty-nine".