580759994880 has 3200 divisors, whose sum is σ = 2695102502400. Its totient is φ = 117719433216.

The previous prime is 580759994783. The next prime is 580759994887. The reversal of 580759994880 is 88499957085.

580759994880 is a `hidden beast` number, since 5 + 8 + 0 + 7 + 59 + 99 + 488 + 0 = 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 = 580759994799 and 580759994808.

It is not an unprimeable number, because it can be changed into a prime (580759994887) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20026206706 + ... + 20026206734.

It is an arithmetic number, because the mean of its divisors is an integer number (842219532).

Almost surely, 2^580759994880 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 580759994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347551251200).

580759994880 is an abundant number, since it is smaller than the sum of its proper divisors (2114342507520).

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

580759994880 is a wasteful number, since it uses less digits than its factorization.

580759994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 580759994880 in words is "five hundred eighty billion, seven hundred fifty-nine million, nine hundred ninety-four thousand, eight hundred eighty".