275328672320 has 168 divisors, whose sum is σ = 738098032056. Its totient is φ = 97239048192.

The previous prime is 275328672271. The next prime is 275328672349. The reversal of 275328672320 is 23276823572.

It can be written as a sum of positive squares in 4 ways, for example, as 10466108416 + 264862563904 = 102304^2 + 514648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138084 + ... + 2263196.

It is an arithmetic number, because the mean of its divisors is an integer number (4393440667).

Almost surely, 2^275328672320 is an apocalyptic number.

275328672320 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 275328672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369049016028).

275328672320 is an abundant number, since it is smaller than the sum of its proper divisors (462769359736).

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

275328672320 is a wasteful number, since it uses less digits than its factorization.

275328672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125189 (or 125156 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 275328672320 in words is "two hundred seventy-five billion, three hundred twenty-eight million, six hundred seventy-two thousand, three hundred twenty".