271808585368061 has 32 divisors (see below), whose sum is σ = 316511491968000. Its totient is φ = 228613956809472.

The previous prime is 271808585368051. The next prime is 271808585368063. The reversal of 271808585368061 is 160863585808172.

It is a cyclic number.

It is not a de Polignac number, because 271808585368061 - 2¹⁸ = 271808585105917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 271808585367982 and 271808585368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271808585368063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68610095 + ... + 72463523.

It is an arithmetic number, because the mean of its divisors is an integer number (9890984124000).

Almost surely, 2^{271808585368061} is an apocalyptic number.

It is an amenable number.

271808585368061 is a deficient number, since it is larger than the sum of its proper divisors (44702906599939).

271808585368061 is a wasteful number, since it uses less digits than its factorization.

271808585368061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854301.

The product of its (nonzero) digits is 154828800, while the sum is 68.

The spelling of 271808585368061 in words is "two hundred seventy-one trillion, eight hundred eight billion, five hundred eighty-five million, three hundred sixty-eight thousand, sixty-one".