258027289806 has 128 divisors (see below), whose sum is σ = 638988134400. Its totient is φ = 68290508160.

The previous prime is 258027289769. The next prime is 258027289889. The reversal of 258027289806 is 608982720852.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13472185 + ... + 13491323.

It is an arithmetic number, because the mean of its divisors is an integer number (4992094800).

Almost surely, 2^258027289806 is an apocalyptic number.

258027289806 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 258027289806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319494067200).

258027289806 is an abundant number, since it is smaller than the sum of its proper divisors (380960844594).

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

258027289806 is a wasteful number, since it uses less digits than its factorization.

258027289806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20014.

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 258027289806 in words is "two hundred fifty-eight billion, twenty-seven million, two hundred eighty-nine thousand, eight hundred six".