12983188680 has 1152 divisors, whose sum is σ = 58559155200. Its totient is φ = 2525022720.

The previous prime is 12983188651. The next prime is 12983188697. The reversal of 12983188680 is 8688138921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156423919 + ... + 156424001.

It is an arithmetic number, because the mean of its divisors is an integer number (50832600).

Almost surely, 2^12983188680 is an apocalyptic number.

12983188680 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 12983188680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279577600).

12983188680 is an abundant number, since it is smaller than the sum of its proper divisors (45575966520).

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

12983188680 is a wasteful number, since it uses less digits than its factorization.

12983188680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 12983188680 in words is "twelve billion, nine hundred eighty-three million, one hundred eighty-eight thousand, six hundred eighty".