85508555580558 has 384 divisors, whose sum is σ = 209311308610560. Its totient is φ = 25011036610560.

The previous prime is 85508555580551. The next prime is 85508555580611.

85508555580558 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×85508555580558³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85508555580551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96401978791 + ... + 96401979677.

It is an arithmetic number, because the mean of its divisors is an integer number (545081532840).

Almost surely, 2^{85508555580558} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85508555580558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104655654305280).

85508555580558 is an abundant number, since it is smaller than the sum of its proper divisors (123802753030002).

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

85508555580558 is a wasteful number, since it uses less digits than its factorization.

85508555580558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1600000000, while the sum is 72.

The spelling of 85508555580558 in words is "eighty-five trillion, five hundred eight billion, five hundred fifty-five million, five hundred eighty thousand, five hundred fifty-eight".