26221100085577 has 2 divisors, whose sum is σ = 26221100085578. Its totient is φ = 26221100085576.

The previous prime is 26221100085571. The next prime is 26221100085599. The reversal of 26221100085577 is 77558000112262.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26186851401481 + 34248684096 = 5117309^2 + 185064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26221100085577 is a prime.

It is not a weakly prime, because it can be changed into another prime (26221100085571) 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 as a sum of consecutive naturals, namely, 13110550042788 + 13110550042789.

It is an arithmetic number, because the mean of its divisors is an integer number (13110550042789).

Almost surely, 2^{26221100085577} is an apocalyptic number.

It is an amenable number.

26221100085577 is a deficient number, since it is larger than the sum of its proper divisors (1).

26221100085577 is an equidigital number, since it uses as much as digits as its factorization.

26221100085577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 26221100085577 in words is "twenty-six trillion, two hundred twenty-one billion, one hundred million, eighty-five thousand, five hundred seventy-seven".