12739772482560 has 880 divisors, whose sum is σ = 46322779409280. Its totient is φ = 3347646382080.

The previous prime is 12739772482529. The next prime is 12739772482579. The reversal of 12739772482560 is 6528427793721.

It is a happy number.

12739772482560 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 97 + 7 + 2 + 482 + 5 + 60 = 666.

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 79 ways as a sum of consecutive naturals, for example, 20189813445 + ... + 20189814075.

It is an arithmetic number, because the mean of its divisors is an integer number (52639522056).

It is a 1-persistent number, because it is pandigital, but 2⋅12739772482560 = 25479544965120 is not.

Almost surely, 2^{12739772482560} is an apocalyptic number.

12739772482560 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 12739772482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23161389704640).

12739772482560 is an abundant number, since it is smaller than the sum of its proper divisors (33583006926720).

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

12739772482560 is an equidigital number, since it uses as much as digits as its factorization.

12739772482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 12739772482560 in words is "twelve trillion, seven hundred thirty-nine billion, seven hundred seventy-two million, four hundred eighty-two thousand, five hundred sixty".