580201187328 has 384 divisors, whose sum is σ = 1967486976000. Its totient is φ = 165496504320.

The previous prime is 580201187273. The next prime is 580201187329. The reversal of 580201187328 is 823781102085.

580201187328 is a `hidden beast` number, since 580 + 20 + 1 + 18 + 7 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (580201187329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394425633 + ... + 394427103.

It is an arithmetic number, because the mean of its divisors is an integer number (5123664000).

Almost surely, 2^580201187328 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 580201187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983743488000).

580201187328 is an abundant number, since it is smaller than the sum of its proper divisors (1387285788672).

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

580201187328 is a wasteful number, since it uses less digits than its factorization.

580201187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 580201187328 in words is "five hundred eighty billion, two hundred one million, one hundred eighty-seven thousand, three hundred twenty-eight".