271985304448 has 128 divisors (see below), whose sum is σ = 639225750240. Its totient is φ = 113644339200.

The previous prime is 271985304421. The next prime is 271985304511. The reversal of 271985304448 is 844403589172.

271985304448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4380436 + ... + 4442092.

Almost surely, 2^271985304448 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 271985304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319612875120).

271985304448 is an abundant number, since it is smaller than the sum of its proper divisors (367240445792).

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

271985304448 is a wasteful number, since it uses less digits than its factorization.

271985304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61936 (or 61924 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 271985304448 in words is "two hundred seventy-one billion, nine hundred eighty-five million, three hundred four thousand, four hundred forty-eight".