271379496960 has 1440 divisors, whose sum is σ = 1158010920990. Its totient is φ = 60728279040.

The previous prime is 271379496911. The next prime is 271379496979. The reversal of 271379496960 is 69694973172.

271379496960 is a `hidden beast` number, since 2 + 7 + 13 + 79 + 496 + 9 + 60 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 117062516736 + 154316980224 = 342144^2 + 392832^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 20875345914 + ... + 20875345926.

Almost surely, 2^271379496960 is an apocalyptic number.

271379496960 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 271379496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579005460495).

271379496960 is an abundant number, since it is smaller than the sum of its proper divisors (886631424030).

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

271379496960 is an equidigital number, since it uses as much as digits as its factorization.

271379496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 271379496960 in words is "two hundred seventy-one billion, three hundred seventy-nine million, four hundred ninety-six thousand, nine hundred sixty".