585080125812 has 288 divisors, whose sum is σ = 1854989660160. Its totient is φ = 151384412160.

The previous prime is 585080125787. The next prime is 585080125871. The reversal of 585080125812 is 218521080585.

585080125812 is a `hidden beast` number, since 5 + 8 + 50 + 8 + 0 + 12 + 581 + 2 = 666.

585080125812 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45670864 + ... + 45683672.

It is an arithmetic number, because the mean of its divisors is an integer number (6440936320).

Almost surely, 2^585080125812 is an apocalyptic number.

585080125812 is a gapful number since it is divisible by the number (52) 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 585080125812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927494830080).

585080125812 is an abundant number, since it is smaller than the sum of its proper divisors (1269909534348).

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

585080125812 is a wasteful number, since it uses less digits than its factorization.

585080125812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13103 (or 13098 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 585080125812 in words is "five hundred eighty-five billion, eighty million, one hundred twenty-five thousand, eight hundred twelve".