85538958588 has 288 divisors, whose sum is σ = 242579151360. Its totient is φ = 25291284480.

The previous prime is 85538958553. The next prime is 85538958623. The reversal of 85538958588 is 88585983558.

85538958588 is a `hidden beast` number, since 8 + 5 + 5 + 38 + 9 + 5 + 8 + 588 = 666.

It is an interprime number because it is at equal distance from previous prime (85538958553) and next prime (85538958623).

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, 242319820 + ... + 242320172.

It is an arithmetic number, because the mean of its divisors is an integer number (842288720).

Almost surely, 2^85538958588 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 85538958588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121289575680).

85538958588 is an abundant number, since it is smaller than the sum of its proper divisors (157040192772).

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

85538958588 is a wasteful number, since it uses less digits than its factorization.

85538958588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its digits is 552960000, while the sum is 72.

The spelling of 85538958588 in words is "eighty-five billion, five hundred thirty-eight million, nine hundred fifty-eight thousand, five hundred eighty-eight".