258786687852 has 288 divisors, whose sum is σ = 852749614080. Its totient is φ = 64286449920.

The previous prime is 258786687823. The next prime is 258786687869.

258786687852 is nontrivially palindromic in base 10.

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, 33723088 + ... + 33730760.

It is an arithmetic number, because the mean of its divisors is an integer number (2960936160).

Almost surely, 2^258786687852 is an apocalyptic number.

258786687852 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 258786687852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426374807040).

258786687852 is an abundant number, since it is smaller than the sum of its proper divisors (593962926228).

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

258786687852 is a wasteful number, since it uses less digits than its factorization.

258786687852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7719 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 258786687852 in words is "two hundred fifty-eight billion, seven hundred eighty-six million, six hundred eighty-seven thousand, eight hundred fifty-two".