258828805504 has 64 divisors (see below), whose sum is σ = 526178028240. Its totient is φ = 126776006656.

The previous prime is 258828805489. The next prime is 258828805519. The reversal of 258828805504 is 405508828852.

It is an interprime number because it is at equal distance from previous prime (258828805489) and next prime (258828805519).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4400739 + ... + 4459165.

Almost surely, 2^258828805504 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 258828805504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263089014120).

258828805504 is an abundant number, since it is smaller than the sum of its proper divisors (267349222736).

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

258828805504 is an equidigital number, since it uses as much as digits as its factorization.

258828805504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59147 (or 59135 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 55.

The spelling of 258828805504 in words is "two hundred fifty-eight billion, eight hundred twenty-eight million, eight hundred five thousand, five hundred four".