12704914560 has 256 divisors, whose sum is σ = 43750264320. Its totient is φ = 3117465600.

The previous prime is 12704914559. The next prime is 12704914571. The reversal of 12704914560 is 6541940721.

It is a super-2 number, since 2×12704914560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10757170 + ... + 10758350.

It is an arithmetic number, because the mean of its divisors is an integer number (170899470).

Almost surely, 2^12704914560 is an apocalyptic number.

12704914560 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 12704914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875132160).

12704914560 is an abundant number, since it is smaller than the sum of its proper divisors (31045349760).

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

12704914560 is a wasteful number, since it uses less digits than its factorization.

12704914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 12704914560 in words is "twelve billion, seven hundred four million, nine hundred fourteen thousand, five hundred sixty".