12635355210640 has 80 divisors (see below), whose sum is σ = 29788895286000. Its totient is φ = 4983356030976.

The previous prime is 12635355210623. The next prime is 12635355210661. The reversal of 12635355210640 is 4601255353621.

It can be written as a sum of positive squares in 8 ways, for example, as 14701077504 + 12620654133136 = 121248^2 + 3552556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18522336 + ... + 19192384.

It is an arithmetic number, because the mean of its divisors is an integer number (372361191075).

Almost surely, 2^{12635355210640} is an apocalyptic number.

12635355210640 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 12635355210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894447643000).

12635355210640 is an abundant number, since it is smaller than the sum of its proper divisors (17153540075360).

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

12635355210640 is a wasteful number, since it uses less digits than its factorization.

12635355210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673364 (or 673358 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 12635355210640 in words is "twelve trillion, six hundred thirty-five billion, three hundred fifty-five million, two hundred ten thousand, six hundred forty".