580827549060 has 288 divisors, whose sum is σ = 1979777479680. Its totient is φ = 136618272000.

The previous prime is 580827549037. The next prime is 580827549109. The reversal of 580827549060 is 60945728085.

580827549060 is a `hidden beast` number, since 5 + 8 + 0 + 82 + 75 + 490 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 580827548988 and 580827549006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12833551 + ... + 12878729.

It is an arithmetic number, because the mean of its divisors is an integer number (6874227360).

Almost surely, 2^580827549060 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 580827549060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989888739840).

580827549060 is an abundant number, since it is smaller than the sum of its proper divisors (1398949930620).

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

580827549060 is a wasteful number, since it uses less digits than its factorization.

580827549060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45399 (or 45394 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 580827549060 in words is "five hundred eighty billion, eight hundred twenty-seven million, five hundred forty-nine thousand, sixty".