580834114128 has 240 divisors, whose sum is σ = 1738768711680. Its totient is φ = 180561782016.

The previous prime is 580834114117. The next prime is 580834114129. The reversal of 580834114128 is 821411438085.

580834114128 is a `hidden beast` number, since 580 + 8 + 3 + 4 + 1 + 1 + 41 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580834114129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86443153 + ... + 86449871.

It is an arithmetic number, because the mean of its divisors is an integer number (7244869632).

Almost surely, 2^580834114128 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 580834114128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869384355840).

580834114128 is an abundant number, since it is smaller than the sum of its proper divisors (1157934597552).

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

580834114128 is a wasteful number, since it uses less digits than its factorization.

580834114128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 580834114128 in words is "five hundred eighty billion, eight hundred thirty-four million, one hundred fourteen thousand, one hundred twenty-eight".