27638120833 has 2 divisors, whose sum is σ = 27638120834. Its totient is φ = 27638120832.

The previous prime is 27638120827. The next prime is 27638120837. The reversal of 27638120833 is 33802183672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17580638464 + 10057482369 = 132592^2 + 100287^2 .

It is a cyclic number.

It is not a de Polignac number, because 27638120833 - 2⁵ = 27638120801 is a prime.

It is a super-3 number, since 3×27638120833³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27638120833.

It is not a weakly prime, because it can be changed into another prime (27638120837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13819060416 + 13819060417.

It is an arithmetic number, because the mean of its divisors is an integer number (13819060417).

Almost surely, 2^27638120833 is an apocalyptic number.

It is an amenable number.

27638120833 is a deficient number, since it is larger than the sum of its proper divisors (1).

27638120833 is an equidigital number, since it uses as much as digits as its factorization.

27638120833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 27638120833 in words is "twenty-seven billion, six hundred thirty-eight million, one hundred twenty thousand, eight hundred thirty-three".