26801034401 has 2 divisors, whose sum is σ = 26801034402. Its totient is φ = 26801034400.

The previous prime is 26801034389. The next prime is 26801034443. The reversal of 26801034401 is 10443010862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26650236001 + 150798400 = 163249^2 + 12280^2 .

It is a cyclic number.

It is not a de Polignac number, because 26801034401 - 2²² = 26796840097 is a prime.

It is not a weakly prime, because it can be changed into another prime (26801034301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13400517200 + 13400517201.

It is an arithmetic number, because the mean of its divisors is an integer number (13400517201).

Almost surely, 2^26801034401 is an apocalyptic number.

It is an amenable number.

26801034401 is a deficient number, since it is larger than the sum of its proper divisors (1).

26801034401 is an equidigital number, since it uses as much as digits as its factorization.

26801034401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 26801034401 in words is "twenty-six billion, eight hundred one million, thirty-four thousand, four hundred one".