12745318680 has 256 divisors, whose sum is σ = 43834982400. Its totient is φ = 3292047360.

The previous prime is 12745318673. The next prime is 12745318687. The reversal of 12745318680 is 8681354721.

12745318680 is a `hidden beast` number, since 1 + 274 + 5 + 318 + 68 + 0 = 666.

12745318680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12745318673) and next prime (12745318687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12745318687) by changing a digit.

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, 5896800 + ... + 5898960.

It is an arithmetic number, because the mean of its divisors is an integer number (171230400).

Almost surely, 2^12745318680 is an apocalyptic number.

12745318680 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 12745318680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917491200).

12745318680 is an abundant number, since it is smaller than the sum of its proper divisors (31089663720).

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

12745318680 is a wasteful number, since it uses less digits than its factorization.

12745318680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12745318680 in words is "twelve billion, seven hundred forty-five million, three hundred eighteen thousand, six hundred eighty".