12730270560 has 576 divisors, whose sum is σ = 50014298880. Its totient is φ = 2705633280.

The previous prime is 12730270547. The next prime is 12730270589. The reversal of 12730270560 is 6507203721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27259447 + ... + 27259913.

It is an arithmetic number, because the mean of its divisors is an integer number (86830380).

Almost surely, 2^12730270560 is an apocalyptic number.

12730270560 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 12730270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007149440).

12730270560 is an abundant number, since it is smaller than the sum of its proper divisors (37284028320).

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

12730270560 is a wasteful number, since it uses less digits than its factorization.

12730270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 12730270560 in words is "twelve billion, seven hundred thirty million, two hundred seventy thousand, five hundred sixty".