12802989136680 has 320 divisors, whose sum is σ = 46014723524880. Its totient is φ = 3181483008000.

The previous prime is 12802989136657. The next prime is 12802989136711. The reversal of 12802989136680 is 8663198920821.

12802989136680 is a `hidden beast` number, since 1 + 28 + 0 + 2 + 98 + 91 + 366 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10512651951684 + 2290337184996 = 3242322^2 + 1513386^2 .

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, 4412370 + ... + 6713790.

Almost surely, 2^{12802989136680} is an apocalyptic number.

12802989136680 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 12802989136680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007361762440).

12802989136680 is an abundant number, since it is smaller than the sum of its proper divisors (33211734388200).

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

12802989136680 is a wasteful number, since it uses less digits than its factorization.

12802989136680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301562 (or 2301549 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 12802989136680 in words is "twelve trillion, eight hundred two billion, nine hundred eighty-nine million, one hundred thirty-six thousand, six hundred eighty".