27885742838633 has 2 divisors, whose sum is σ = 27885742838634. Its totient is φ = 27885742838632.

The previous prime is 27885742838609. The next prime is 27885742838647. The reversal of 27885742838633 is 33683824758872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17661947622544 + 10223795216089 = 4202612^2 + 3197467^2 .

It is a cyclic number.

It is not a de Polignac number, because 27885742838633 - 2⁸ = 27885742838377 is a prime.

It is a super-2 number, since 2×27885742838633² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27885742838683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13942871419316 + 13942871419317.

It is an arithmetic number, because the mean of its divisors is an integer number (13942871419317).

Almost surely, 2^{27885742838633} is an apocalyptic number.

It is an amenable number.

27885742838633 is a deficient number, since it is larger than the sum of its proper divisors (1).

27885742838633 is an equidigital number, since it uses as much as digits as its factorization.

27885742838633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2601123840, while the sum is 74.

The spelling of 27885742838633 in words is "twenty-seven trillion, eight hundred eighty-five billion, seven hundred forty-two million, eight hundred thirty-eight thousand, six hundred thirty-three".