12789705600 has 1440 divisors, whose sum is σ = 58882447800. Its totient is φ = 2717245440.

The previous prime is 12789705563. The next prime is 12789705623. The reversal of 12789705600 is 650798721.

12789705600 is a `hidden beast` number, since 1 + 2 + 7 + 89 + 7 + 0 + 560 + 0 = 666.

12789705600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 241315174 + ... + 241315226.

Almost surely, 2^12789705600 is an apocalyptic number.

12789705600 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 12789705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29441223900).

12789705600 is an abundant number, since it is smaller than the sum of its proper divisors (46092742200).

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

12789705600 is a wasteful number, since it uses less digits than its factorization.

12789705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12789705600 in words is "twelve billion, seven hundred eighty-nine million, seven hundred five thousand, six hundred".