12882855006 has 256 divisors, whose sum is σ = 34593177600. Its totient is φ = 3478235904.

The previous prime is 12882854989. The next prime is 12882855023. The reversal of 12882855006 is 60055828821.

12882855006 is a `hidden beast` number, since 12 + 8 + 82 + 8 + 550 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12882854989) and next prime (12882855023).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94035370 + ... + 94035506.

It is an arithmetic number, because the mean of its divisors is an integer number (135129600).

Almost surely, 2^12882855006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882855006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296588800).

12882855006 is an abundant number, since it is smaller than the sum of its proper divisors (21710322594).

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

12882855006 is a wasteful number, since it uses less digits than its factorization.

12882855006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12882855006 in words is "twelve billion, eight hundred eighty-two million, eight hundred fifty-five thousand, six".