271991956768 has 96 divisors (see below), whose sum is σ = 641758239360. Its totient is φ = 111006443520.

The previous prime is 271991956711. The next prime is 271991956781. The reversal of 271991956768 is 867659199172.

It is a junction number, because it is equal to n+sod(n) for n = 271991956697 and 271991956706.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 187423 + ... + 760993.

It is an arithmetic number, because the mean of its divisors is an integer number (6684981660).

Almost surely, 2^271991956768 is an apocalyptic number.

271991956768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271991956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320879119680).

271991956768 is an abundant number, since it is smaller than the sum of its proper divisors (369766282592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271991956768 is a wasteful number, since it uses less digits than its factorization.

271991956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573690 (or 573682 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 70.

The spelling of 271991956768 in words is "two hundred seventy-one billion, nine hundred ninety-one million, nine hundred fifty-six thousand, seven hundred sixty-eight".