26966504801 has 4 divisors (see below), whose sum is σ = 26966840004. Its totient is φ = 26966169600.

The previous prime is 26966504791. The next prime is 26966504863. The reversal of 26966504801 is 10840566962.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 14006959201 + 12959545600 = 118351^2 + 113840^2 .

It is a cyclic number.

It is not a de Polignac number, because 26966504801 - 2¹⁸ = 26966242657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26966504501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33521 + ... + 234641.

It is an arithmetic number, because the mean of its divisors is an integer number (6741710001).

It is a Poulet number, since it divides 2^26966504800-1.

Almost surely, 2^26966504801 is an apocalyptic number.

26966504801 is the 134081-st pentagonal number.

It is an amenable number.

26966504801 is a deficient number, since it is larger than the sum of its proper divisors (335203).

26966504801 is a wasteful number, since it uses less digits than its factorization.

26966504801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335202.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 26966504801 in words is "twenty-six billion, nine hundred sixty-six million, five hundred four thousand, eight hundred one".