120580568064 has 1056 divisors, whose sum is σ = 433351406592. Its totient is φ = 31850496000.

The previous prime is 120580568041. The next prime is 120580568083. The reversal of 120580568064 is 460865085021.

120580568064 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 80 + 568 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 1976730594 + ... + 1976730654.

Almost surely, 2^120580568064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120580568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216675703296).

120580568064 is an abundant number, since it is smaller than the sum of its proper divisors (312770838528).

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

120580568064 is a wasteful number, since it uses less digits than its factorization.

120580568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 120580568064 in words is "one hundred twenty billion, five hundred eighty million, five hundred sixty-eight thousand, sixty-four".