12635524608 has 320 divisors, whose sum is σ = 40125431808. Its totient is φ = 3457474560.

The previous prime is 12635524553. The next prime is 12635524613. The reversal of 12635524608 is 80642553621.

12635524608 = T₃₂₇ + T₃₂₈ + ... + T₄₂₃₂.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12635524608.

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 31 ways as a sum of consecutive naturals, for example, 55662991 + ... + 55663217.

Almost surely, 2^12635524608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12635524608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062715904).

12635524608 is an abundant number, since it is smaller than the sum of its proper divisors (27489907200).

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

12635524608 is a wasteful number, since it uses less digits than its factorization.

12635524608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12635524608 in words is "twelve billion, six hundred thirty-five million, five hundred twenty-four thousand, six hundred eight".