271480066560 has 1120 divisors, whose sum is σ = 1062679305600. Its totient is φ = 66217181184.

The previous prime is 271480066541. The next prime is 271480066567. The reversal of 271480066560 is 65660084172.

271480066560 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 80 + 0 + 6 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (271480066567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1364221341 + ... + 1364221539.

Almost surely, 2^271480066560 is an apocalyptic number.

271480066560 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 271480066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531339652800).

271480066560 is an abundant number, since it is smaller than the sum of its proper divisors (791199239040).

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

271480066560 is an equidigital number, since it uses as much as digits as its factorization.

271480066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 271480066560 in words is "two hundred seventy-one billion, four hundred eighty million, sixty-six thousand, five hundred sixty".