1271585280 has 480 divisors, whose sum is σ = 4926113280. Its totient is φ = 278691840.

The previous prime is 1271585269. The next prime is 1271585281. The reversal of 1271585280 is 825851721.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (1271585281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11665866 + ... + 11665974.

It is an arithmetic number, because the mean of its divisors is an integer number (10262736).

Almost surely, 2^1271585280 is an apocalyptic number.

1271585280 is a gapful number since it is divisible by the number (10) 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 1271585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463056640).

1271585280 is an abundant number, since it is smaller than the sum of its proper divisors (3654528000).

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

1271585280 is a wasteful number, since it uses less digits than its factorization.

1271585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The square root of 1271585280 is about 35659.2944405803. The cubic root of 1271585280 is about 1083.3825362005.

The spelling of 1271585280 in words is "one billion, two hundred seventy-one million, five hundred eighty-five thousand, two hundred eighty".