12806553600 has 480 divisors, whose sum is σ = 47689426290. Its totient is φ = 3397386240.

The previous prime is 12806553589. The next prime is 12806553653. The reversal of 12806553600 is 635560821.

It can be written as a sum of positive squares in 3 ways, for example, as 7868399616 + 4938153984 = 88704^2 + 70272^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355104 + ... + 66355296.

Almost surely, 2^12806553600 is an apocalyptic number.

12806553600 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 12806553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844713145).

12806553600 is an abundant number, since it is smaller than the sum of its proper divisors (34882872690).

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

12806553600 is an frugal number, since it uses more digits than its factorization.

12806553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12806553600 in words is "twelve billion, eight hundred six million, five hundred fifty-three thousand, six hundred".