580056059088 has 960 divisors, whose sum is σ = 2006271590400. Its totient is φ = 159826867200.

The previous prime is 580056059083. The next prime is 580056059123. The reversal of 580056059088 is 880950650085.

580056059088 is a `hidden beast` number, since 580 + 0 + 5 + 6 + 0 + 59 + 0 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580056059083) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4427908783 + ... + 4427908913.

It is an arithmetic number, because the mean of its divisors is an integer number (2089866240).

Almost surely, 2^580056059088 is an apocalyptic number.

580056059088 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 580056059088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003135795200).

580056059088 is an abundant number, since it is smaller than the sum of its proper divisors (1426215531312).

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

580056059088 is a wasteful number, since it uses less digits than its factorization.

580056059088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 580056059088 in words is "five hundred eighty billion, fifty-six million, fifty-nine thousand, eighty-eight".