12680773560 has 640 divisors, whose sum is σ = 53787888000. Its totient is φ = 2607759360.

The previous prime is 12680773549. The next prime is 12680773577. The reversal of 12680773560 is 6537708621.

12680773560 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 7 + 7 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12087916 + ... + 12088964.

It is an arithmetic number, because the mean of its divisors is an integer number (84043575).

Almost surely, 2^12680773560 is an apocalyptic number.

12680773560 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 12680773560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893944000).

12680773560 is an abundant number, since it is smaller than the sum of its proper divisors (41107114440).

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

12680773560 is a wasteful number, since it uses less digits than its factorization.

12680773560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12680773560 in words is "twelve billion, six hundred eighty million, seven hundred seventy-three thousand, five hundred sixty".