585242964540 has 576 divisors, whose sum is σ = 2005943861376. Its totient is φ = 137164161024.

The previous prime is 585242964539. The next prime is 585242964541. The reversal of 585242964540 is 45469242585.

585242964540 is a `hidden beast` number, since 5 + 8 + 5 + 2 + 4 + 2 + 96 + 4 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (585242964539) and next prime (585242964541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585242964541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1351600164 + ... + 1351600596.

It is an arithmetic number, because the mean of its divisors is an integer number (3482541426).

Almost surely, 2^585242964540 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 585242964540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002971930688).

585242964540 is an abundant number, since it is smaller than the sum of its proper divisors (1420700896836).

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

585242964540 is a wasteful number, since it uses less digits than its factorization.

585242964540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 585242964540 in words is "five hundred eighty-five billion, two hundred forty-two million, nine hundred sixty-four thousand, five hundred forty".