12506719680 has 448 divisors, whose sum is σ = 54306094080. Its totient is φ = 2638614528.

The previous prime is 12506719661. The next prime is 12506719691. The reversal of 12506719680 is 8691760521.

12506719680 is a `hidden beast` number, since 12 + 506 + 71 + 9 + 68 + 0 = 666.

12506719680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 778287 + ... + 794193.

It is an arithmetic number, because the mean of its divisors is an integer number (121218960).

Almost surely, 2^12506719680 is an apocalyptic number.

12506719680 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 12506719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27153047040).

12506719680 is an abundant number, since it is smaller than the sum of its proper divisors (41799374400).

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

12506719680 is a wasteful number, since it uses less digits than its factorization.

12506719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12506719680 in words is "twelve billion, five hundred six million, seven hundred nineteen thousand, six hundred eighty".