12657835008 has 792 divisors, whose sum is σ = 47996876928. Its totient is φ = 3260694528.

The previous prime is 12657834997. The next prime is 12657835009. The reversal of 12657835008 is 80053875621.

12657835008 is a `hidden beast` number, since 1 + 2 + 65 + 7 + 83 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657835009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294368235 + ... + 294368277.

Almost surely, 2^12657835008 is an apocalyptic number.

12657835008 is a gapful number since it is divisible by the number (18) 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 12657835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998438464).

12657835008 is an abundant number, since it is smaller than the sum of its proper divisors (35339041920).

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

12657835008 is an equidigital number, since it uses as much as digits as its factorization.

12657835008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12657835008 in words is "twelve billion, six hundred fifty-seven million, eight hundred thirty-five thousand, eight".