271956242261067 has 256 divisors, whose sum is σ = 486196225536000. Its totient is φ = 133964380569600.

The previous prime is 271956242260951. The next prime is 271956242261087. The reversal of 271956242261067 is 760162242659172.

It is not a de Polignac number, because 271956242261067 - 2¹² = 271956242256971 is a prime.

It is a super-3 number, since 3×271956242261067³ (a number of 44 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 271956242261067.

It is not an unprimeable number, because it can be changed into a prime (271956242261087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51969468483 + ... + 51969473715.

It is an arithmetic number, because the mean of its divisors is an integer number (1899204006000).

Almost surely, 2^{271956242261067} is an apocalyptic number.

271956242261067 is a deficient number, since it is larger than the sum of its proper divisors (214239983274933).

271956242261067 is a wasteful number, since it uses less digits than its factorization.

271956242261067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 271956242261067 in words is "two hundred seventy-one trillion, nine hundred fifty-six billion, two hundred forty-two million, two hundred sixty-one thousand, sixty-seven".