12908085660 has 288 divisors, whose sum is σ = 41982001152. Its totient is φ = 3204334080.

The previous prime is 12908085649. The next prime is 12908085679. The reversal of 12908085660 is 6658080921.

12908085660 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 80 + 8 + 566 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21265077 + ... + 21265683.

Almost surely, 2^12908085660 is an apocalyptic number.

12908085660 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 12908085660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991000576).

12908085660 is an abundant number, since it is smaller than the sum of its proper divisors (29073915492).

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

12908085660 is a wasteful number, since it uses less digits than its factorization.

12908085660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12908085660 in words is "twelve billion, nine hundred eight million, eighty-five thousand, six hundred sixty".