271985304465 has 40 divisors (see below), whose sum is σ = 557210111040. Its totient is φ = 124336137888.

The previous prime is 271985304421. The next prime is 271985304511. The reversal of 271985304465 is 564403589172.

It is a happy number.

271985304465 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 8 + 530 + 44 + 65 = 666.

It is not a de Polignac number, because 271985304465 - 2¹⁵ = 271985271697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47966355 + ... + 47972024.

It is an arithmetic number, because the mean of its divisors is an integer number (13930252776).

It is a 1-persistent number, because it is pandigital, but 2⋅271985304465 = 543970608930 is not.

Almost surely, 2^271985304465 is an apocalyptic number.

It is an amenable number.

271985304465 is an abundant number, since it is smaller than the sum of its proper divisors (285224806575).

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

271985304465 is an equidigital number, since it uses as much as digits as its factorization.

271985304465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95938403 (or 95938394 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 271985304465 in words is "two hundred seventy-one billion, nine hundred eighty-five million, three hundred four thousand, four hundred sixty-five".