580825930230 has 768 divisors, whose sum is σ = 2087088353280. Its totient is φ = 111541432320.

The previous prime is 580825930207. The next prime is 580825930249. The reversal of 580825930230 is 32039528085.

580825930230 is a `hidden beast` number, since 58 + 0 + 8 + 2 + 593 + 0 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×580825930230² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 401399367 + ... + 401400813.

It is an arithmetic number, because the mean of its divisors is an integer number (2717562960).

Almost surely, 2^580825930230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580825930230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043544176640).

580825930230 is an abundant number, since it is smaller than the sum of its proper divisors (1506262423050).

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

580825930230 is a wasteful number, since it uses less digits than its factorization.

580825930230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 580825930230 in words is "five hundred eighty billion, eight hundred twenty-five million, nine hundred thirty thousand, two hundred thirty".