25886661696001 has 16 divisors (see below), whose sum is σ = 25974564774928. Its totient is φ = 25798901760000.

The previous prime is 25886661695981. The next prime is 25886661696017. The reversal of 25886661696001 is 10069616668852.

It can be written as a sum of positive squares in 8 ways, for example, as 2674009857600 + 23212651838401 = 1635240^2 + 4817951^2 .

It is a 3-Lehmer number, since φ(25886661696001) divides (25886661696001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 25886661696001 - 2¹⁹ = 25886661171713 is a prime.

It is a deceptive number, since it divides R_{25886661696000}.

It is not an unprimeable number, because it can be changed into a prime (25886661696031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2696241601 + ... + 2696251201.

It is an arithmetic number, because the mean of its divisors is an integer number (1623410298433).

It is a Poulet number, since it divides 2^{25886661696000}-1.

Almost surely, 2^{25886661696001} is an apocalyptic number.

It is an amenable number.

25886661696001 is a deficient number, since it is larger than the sum of its proper divisors (87903078927).

25886661696001 is a wasteful number, since it uses less digits than its factorization.

25886661696001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16132.

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 25886661696001 in words is "twenty-five trillion, eight hundred eighty-six billion, six hundred sixty-one million, six hundred ninety-six thousand, one".