12636825600 has 864 divisors, whose sum is σ = 51403584960. Its totient is φ = 2724986880.

The previous prime is 12636825587. The next prime is 12636825667. The reversal of 12636825600 is 652863621.

It is a super-2 number, since 2×12636825600² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 173107164 + ... + 173107236.

It is an arithmetic number, because the mean of its divisors is an integer number (59494890).

Almost surely, 2^12636825600 is an apocalyptic number.

12636825600 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 12636825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25701792480).

12636825600 is an abundant number, since it is smaller than the sum of its proper divisors (38766759360).

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

12636825600 is a wasteful number, since it uses less digits than its factorization.

12636825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12636825600 in words is "twelve billion, six hundred thirty-six million, eight hundred twenty-five thousand, six hundred".