12535640208 has 300 divisors, whose sum is σ = 44091045180. Its totient is φ = 3304917504.

The previous prime is 12535640207. The next prime is 12535640209. The reversal of 12535640208 is 80204653521.

12535640208 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 5 + 640 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12535640207) and next prime (12535640209).

It can be written as a sum of positive squares in 2 ways, for example, as 4652331264 + 7883308944 = 68208^2 + 88788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12535640207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4493278 + ... + 4496066.

Almost surely, 2^12535640208 is an apocalyptic number.

12535640208 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 12535640208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22045522590).

12535640208 is an abundant number, since it is smaller than the sum of its proper divisors (31555404972).

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

12535640208 is a wasteful number, since it uses less digits than its factorization.

12535640208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12535640208 in words is "twelve billion, five hundred thirty-five million, six hundred forty thousand, two hundred eight".