12766361600 has 288 divisors, whose sum is σ = 34037508960. Its totient is φ = 4736286720.

The previous prime is 12766361581. The next prime is 12766361639. The reversal of 12766361600 is 616366721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43571054 + ... + 43571346.

It is an arithmetic number, because the mean of its divisors is an integer number (118185795).

Almost surely, 2^12766361600 is an apocalyptic number.

12766361600 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 12766361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018754480).

12766361600 is an abundant number, since it is smaller than the sum of its proper divisors (21271147360).

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

12766361600 is a wasteful number, since it uses less digits than its factorization.

12766361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 12766361600 in words is "twelve billion, seven hundred sixty-six million, three hundred sixty-one thousand, six hundred".