580004987309568 has 480 divisors, whose sum is σ = 1754934318577440. Its totient is φ = 184165079777280.

The previous prime is 580004987309549. The next prime is 580004987309603. The reversal of 580004987309568 is 865903789400085.

580004987309568 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 0 + 498 + 73 + 0 + 9 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 580004987309496 and 580004987309505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8130001578 + ... + 8130072918.

It is an arithmetic number, because the mean of its divisors is an integer number (3656113163703).

Almost surely, 2^{580004987309568} is an apocalyptic number.

580004987309568 is a gapful number since it is divisible by the number (58) 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 580004987309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877467159288720).

580004987309568 is an abundant number, since it is smaller than the sum of its proper divisors (1174929331267872).

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

580004987309568 is a wasteful number, since it uses less digits than its factorization.

580004987309568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72210 (or 72191 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 580004987309568 in words is "five hundred eighty trillion, four billion, nine hundred eighty-seven million, three hundred nine thousand, five hundred sixty-eight".