12705396480 has 576 divisors, whose sum is σ = 53333683200. Its totient is φ = 2802401280.

The previous prime is 12705396467. The next prime is 12705396511. The reversal of 12705396480 is 8469350721.

12705396480 is a `hidden beast` number, since 1 + 2 + 70 + 539 + 6 + 48 + 0 = 666.

12705396480 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 (576).

It is a super-2 number, since 2×12705396480² (a number of 21 digits) contains 22 as substring.

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, 7014775 + ... + 7016585.

It is an arithmetic number, because the mean of its divisors is an integer number (92593200).

It is a 1-persistent number, because it is pandigital, but 2⋅12705396480 = 25410792960 is not.

Almost surely, 2^12705396480 is an apocalyptic number.

12705396480 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 12705396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666841600).

12705396480 is an abundant number, since it is smaller than the sum of its proper divisors (40628286720).

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

12705396480 is a wasteful number, since it uses less digits than its factorization.

12705396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12705396480 in words is "twelve billion, seven hundred five million, three hundred ninety-six thousand, four hundred eighty".