12720685824 has 720 divisors, whose sum is σ = 49005766656. Its totient is φ = 3185049600.

The previous prime is 12720685807. The next prime is 12720685837. The reversal of 12720685824 is 42858602721.

12720685824 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 0 + 68 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12720685824.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49496704 + ... + 49496960.

Almost surely, 2^12720685824 is an apocalyptic number.

12720685824 is a gapful number since it is divisible by the number (14) 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 12720685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502883328).

12720685824 is an abundant number, since it is smaller than the sum of its proper divisors (36285080832).

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

12720685824 is a wasteful number, since it uses less digits than its factorization.

12720685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12720685824 in words is "twelve billion, seven hundred twenty million, six hundred eighty-five thousand, eight hundred twenty-four".