12704213753280 has 2688 divisors, whose sum is σ = 56967266304000. Its totient is φ = 2532472750080.

The previous prime is 12704213753263. The next prime is 12704213753281. The reversal of 12704213753280 is 8235731240721.

12704213753280 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 4 + 2 + 1 + 37 + 532 + 80 = 666.

It is a super-2 number, since 2×12704213753280² (a number of 27 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 not an unprimeable number, because it can be changed into a prime (12704213753281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27203883607 + ... + 27203884073.

Almost surely, 2^{12704213753280} is an apocalyptic number.

12704213753280 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 12704213753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483633152000).

12704213753280 is an abundant number, since it is smaller than the sum of its proper divisors (44263052550720).

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

12704213753280 is a wasteful number, since it uses less digits than its factorization.

12704213753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12704213753280 in words is "twelve trillion, seven hundred four billion, two hundred thirteen million, seven hundred fifty-three thousand, two hundred eighty".