258885588852 has 216 divisors, whose sum is σ = 759209112480. Its totient is φ = 73563552000.

The previous prime is 258885588791. The next prime is 258885588853.

258885588852 is nontrivially palindromic in base 10.

258885588852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258885588853) 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 71 ways as a sum of consecutive naturals, for example, 76750638 + ... + 76754010.

Almost surely, 2^258885588852 is an apocalyptic number.

258885588852 is a gapful number since it is divisible by the number (22) 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 258885588852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379604556240).

258885588852 is an abundant number, since it is smaller than the sum of its proper divisors (500323523628).

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

258885588852 is a wasteful number, since it uses less digits than its factorization.

258885588852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3509 counting only the distinct ones).

The product of its digits is 655360000, while the sum is 72.

The spelling of 258885588852 in words is "two hundred fifty-eight billion, eight hundred eighty-five million, five hundred eighty-eight thousand, eight hundred fifty-two".