271273660416 has 416 divisors, whose sum is σ = 887883431040. Its totient is φ = 82174279680.

The previous prime is 271273660391. The next prime is 271273660433. The reversal of 271273660416 is 614066372172.

271273660416 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 7 + 36 + 604 + 1 + 6 = 666.

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, 98536096 + ... + 98538848.

Almost surely, 2^271273660416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271273660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443941715520).

271273660416 is an abundant number, since it is smaller than the sum of its proper divisors (616609770624).

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

271273660416 is an frugal number, since it uses more digits than its factorization.

271273660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 271273660416 in words is "two hundred seventy-one billion, two hundred seventy-three million, six hundred sixty thousand, four hundred sixteen".