12935066580 has 240 divisors, whose sum is σ = 41888689920. Its totient is φ = 3339677952.

The previous prime is 12935066569. The next prime is 12935066593. The reversal of 12935066580 is 8566053921.

12935066580 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 5 + 0 + 66 + 580 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6781987 + ... + 6783893.

It is an arithmetic number, because the mean of its divisors is an integer number (174536208).

Almost surely, 2^12935066580 is an apocalyptic number.

12935066580 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 12935066580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944344960).

12935066580 is an abundant number, since it is smaller than the sum of its proper divisors (28953623340).

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

12935066580 is a wasteful number, since it uses less digits than its factorization.

12935066580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12935066580 in words is "twelve billion, nine hundred thirty-five million, sixty-six thousand, five hundred eighty".