580540417440480 has 768 divisors, whose sum is σ = 2334698311680000. Its totient is φ = 131980498771968.

The previous prime is 580540417440479. The next prime is 580540417440491. The reversal of 580540417440480 is 84044714045085.

580540417440480 is a `hidden beast` number, since 5 + 8 + 0 + 54 + 0 + 4 + 1 + 74 + 40 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4189773441 + ... + 4189911999.

It is an arithmetic number, because the mean of its divisors is an integer number (3039971760000).

Almost surely, 2^{580540417440480} 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 580540417440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167349155840000).

580540417440480 is an abundant number, since it is smaller than the sum of its proper divisors (1754157894239520).

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

580540417440480 is a wasteful number, since it uses less digits than its factorization.

580540417440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139336 (or 139322 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 54.

The spelling of 580540417440480 in words is "five hundred eighty trillion, five hundred forty billion, four hundred seventeen million, four hundred forty thousand, four hundred eighty".