12704056807680 has 864 divisors, whose sum is σ = 50577666886656. Its totient is φ = 2883988094976.

The previous prime is 12704056807661. The next prime is 12704056807699. The reversal of 12704056807680 is 8670865040721.

12704056807680 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 4 + 0 + 568 + 0 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12704056807661) and next prime (12704056807699).

It is a super-2 number, since 2×12704056807680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11517730009 + ... + 11517731111.

It is an arithmetic number, because the mean of its divisors is an integer number (58538966304).

Almost surely, 2^{12704056807680} is an apocalyptic number.

12704056807680 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 12704056807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25288833443328).

12704056807680 is an abundant number, since it is smaller than the sum of its proper divisors (37873610078976).

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

12704056807680 is a wasteful number, since it uses less digits than its factorization.

12704056807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12704056807680 in words is "twelve trillion, seven hundred four billion, fifty-six million, eight hundred seven thousand, six hundred eighty".