12582772480 has 72 divisors (see below), whose sum is σ = 30306747744. Its totient is φ = 5005209600.

The previous prime is 12582772459. The next prime is 12582772493. The reversal of 12582772480 is 8427728521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12582772480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204525 + ... + 258835.

It is an arithmetic number, because the mean of its divisors is an integer number (420927052).

Almost surely, 2^12582772480 is an apocalyptic number.

12582772480 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 12582772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153373872).

12582772480 is an abundant number, since it is smaller than the sum of its proper divisors (17723975264).

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

12582772480 is an equidigital number, since it uses as much as digits as its factorization.

12582772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54513 (or 54499 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 46.

The spelling of 12582772480 in words is "twelve billion, five hundred eighty-two million, seven hundred seventy-two thousand, four hundred eighty".