26679066401 has 8 divisors (see below), whose sum is σ = 28877149224. Its totient is φ = 24501818880.

The previous prime is 26679066397. The next prime is 26679066419. The reversal of 26679066401 is 10466097662.

It can be written as a sum of positive squares in 4 ways, for example, as 5135872225 + 21543194176 = 71665^2 + 146776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 26679066401 - 2² = 26679066397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26679066431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5206160 + ... + 5211281.

It is an arithmetic number, because the mean of its divisors is an integer number (3609643653).

Almost surely, 2^26679066401 is an apocalyptic number.

It is an amenable number.

26679066401 is a deficient number, since it is larger than the sum of its proper divisors (2198082823).

26679066401 is a wasteful number, since it uses less digits than its factorization.

26679066401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417651.

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 26679066401 in words is "twenty-six billion, six hundred seventy-nine million, sixty-six thousand, four hundred one".