271820420496 has 135 divisors (see below), whose sum is σ = 795653653249. Its totient is φ = 86621500416.

The previous prime is 271820420401. The next prime is 271820420497. The reversal of 271820420496 is 694024028172.

The square root of 271820420496 is 521364.

It is a perfect power (a square), and thus also a powerful number.

271820420496 is a `hidden beast` number, since 2 + 7 + 182 + 0 + 420 + 49 + 6 = 666.

271820420496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 130925290896 + 140895129600 = 361836^2 + 375360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271820420497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143895520 + ... + 143897408.

Almost surely, 2^271820420496 is an apocalyptic number.

271820420496 is the 521364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271820420496

271820420496 is an abundant number, since it is smaller than the sum of its proper divisors (523833232753).

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

271820420496 is an equidigital number, since it uses as much as digits as its factorization.

271820420496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 271820420496 in words is "two hundred seventy-one billion, eight hundred twenty million, four hundred twenty thousand, four hundred ninety-six".