271315766220 has 96 divisors (see below), whose sum is σ = 770745507840. Its totient is φ = 71298366720.

The previous prime is 271315766209. The next prime is 271315766257. The reversal of 271315766220 is 22667513172.

It is a super-2 number, since 2×271315766220² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9822549 + ... + 9850131.

It is an arithmetic number, because the mean of its divisors is an integer number (8028599040).

Almost surely, 2^271315766220 is an apocalyptic number.

271315766220 is a gapful number since it is divisible by the number (20) 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 271315766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385372753920).

271315766220 is an abundant number, since it is smaller than the sum of its proper divisors (499429741620).

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

271315766220 is a wasteful number, since it uses less digits than its factorization.

271315766220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29975 (or 29973 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 271315766220 in words is "two hundred seventy-one billion, three hundred fifteen million, seven hundred sixty-six thousand, two hundred twenty".