12680521584784 has 45 divisors (see below), whose sum is σ = 24699322545177. Its totient is φ = 6306680826432.

The previous prime is 12680521584781. The next prime is 12680521584827. The reversal of 12680521584784 is 48748512508621.

The square root of 12680521584784 is 3560972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12424356032400 + 256165552384 = 3524820^2 + 506128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12680521584781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2806043677 + ... + 2806048195.

Almost surely, 2^{12680521584784} is an apocalyptic number.

12680521584784 is the 3560972-nd square number.

It is an amenable number.

12680521584784 is a deficient number, since it is larger than the sum of its proper divisors (12018800960393).

12680521584784 is an frugal number, since it uses more digits than its factorization.

12680521584784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 61.

The spelling of 12680521584784 in words is "twelve trillion, six hundred eighty billion, five hundred twenty-one million, five hundred eighty-four thousand, seven hundred eighty-four".