258867768852 has 288 divisors, whose sum is σ = 846072864000. Its totient is φ = 64757145600.

The previous prime is 258867768791. The next prime is 258867768871.

258867768852 is nontrivially palindromic in base 10.

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, 33839524 + ... + 33847172.

It is an arithmetic number, because the mean of its divisors is an integer number (2937753000).

Almost surely, 2^258867768852 is an apocalyptic number.

258867768852 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 258867768852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423036432000).

258867768852 is an abundant number, since it is smaller than the sum of its proper divisors (587205095148).

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

258867768852 is a wasteful number, since it uses less digits than its factorization.

258867768852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127 (or 8122 counting only the distinct ones).

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

The spelling of 258867768852 in words is "two hundred fifty-eight billion, eight hundred sixty-seven million, seven hundred sixty-eight thousand, eight hundred fifty-two".