26722063201073 has 2 divisors, whose sum is σ = 26722063201074. Its totient is φ = 26722063201072.

The previous prime is 26722063200967. The next prime is 26722063201103. The reversal of 26722063201073 is 37010236022762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25954867646464 + 767195554609 = 5094592^2 + 875897^2 .

It is a cyclic number.

It is not a de Polignac number, because 26722063201073 - 2¹⁸ = 26722062938929 is a prime.

It is a super-3 number, since 3×26722063201073³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26722063201073.

It is not a weakly prime, because it can be changed into another prime (26722063291073) 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, 13361031600536 + 13361031600537.

It is an arithmetic number, because the mean of its divisors is an integer number (13361031600537).

Almost surely, 2^{26722063201073} is an apocalyptic number.

It is an amenable number.

26722063201073 is a deficient number, since it is larger than the sum of its proper divisors (1).

26722063201073 is an equidigital number, since it uses as much as digits as its factorization.

26722063201073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 26722063201073 in words is "twenty-six trillion, seven hundred twenty-two billion, sixty-three million, two hundred one thousand, seventy-three".