120580563168 has 240 divisors, whose sum is σ = 404369658000. Its totient is φ = 34919092224.

The previous prime is 120580563139. The next prime is 120580563179. The reversal of 120580563168 is 861365085021.

120580563168 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 0 + 5 + 631 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467583 + ... + 678081.

It is an arithmetic number, because the mean of its divisors is an integer number (1684873575).

Almost surely, 2^120580563168 is an apocalyptic number.

120580563168 is a gapful number since it is divisible by the number (18) 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 120580563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202184829000).

120580563168 is an abundant number, since it is smaller than the sum of its proper divisors (283789094832).

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

120580563168 is a wasteful number, since it uses less digits than its factorization.

120580563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210551 (or 210534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 120580563168 in words is "one hundred twenty billion, five hundred eighty million, five hundred sixty-three thousand, one hundred sixty-eight".