258661808166852 has 144 divisors (see below), whose sum is σ = 671275484827584. Its totient is φ = 83950279200000.

The previous prime is 258661808166829. The next prime is 258661808166943.

258661808166852 is a `hidden beast` number, since 258 + 6 + 61 + 80 + 8 + 166 + 85 + 2 = 666.

258661808166852 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105979727 + ... + 1106213577.

Almost surely, 2^{258661808166852} 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 258661808166852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335637742413792).

258661808166852 is an abundant number, since it is smaller than the sum of its proper divisors (412613676660732).

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

258661808166852 is a wasteful number, since it uses less digits than its factorization.

258661808166852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239010 (or 239005 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 258661808166852 in words is "two hundred fifty-eight trillion, six hundred sixty-one billion, eight hundred eight million, one hundred sixty-six thousand, eight hundred fifty-two".