580067123328 has 1152 divisors, whose sum is σ = 2195981598720. Its totient is φ = 143700480000.

The previous prime is 580067123323. The next prime is 580067123329. The reversal of 580067123328 is 823321760085.

580067123328 is a `hidden beast` number, since 580 + 0 + 6 + 7 + 12 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (580067123323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3841504053 + ... + 3841504203.

Almost surely, 2^580067123328 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 580067123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097990799360).

580067123328 is an abundant number, since it is smaller than the sum of its proper divisors (1615914475392).

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

580067123328 is a wasteful number, since it uses less digits than its factorization.

580067123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 580067123328 in words is "five hundred eighty billion, sixty-seven million, one hundred twenty-three thousand, three hundred twenty-eight".