789068050560 has 192 divisors, whose sum is σ = 2885030417880. Its totient is φ = 198040584192.

The previous prime is 789068050513. The next prime is 789068050571. The reversal of 789068050560 is 65050860987.

789068050560 is a `hidden beast` number, since 78 + 9 + 0 + 6 + 8 + 0 + 5 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 669346514496 + 119721536064 = 818136^2 + 346008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 789068050497 and 789068050506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3931227 + ... + 4127066.

Almost surely, 2^789068050560 is an apocalyptic number.

It is an amenable number.

789068050560 is an abundant number, since it is smaller than the sum of its proper divisors (2095962367320).

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

789068050560 is a wasteful number, since it uses less digits than its factorization.

789068050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058335 (or 8058320 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 789068050560 in words is "seven hundred eighty-nine billion, sixty-eight million, fifty thousand, five hundred sixty".