258890485000 has 320 divisors, whose sum is σ = 739855670400. Its totient is φ = 82923264000.

The previous prime is 258890484997. The next prime is 258890485031. The reversal of 258890485000 is 584098852.

258890485000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48542334 + ... + 48547666.

It is an arithmetic number, because the mean of its divisors is an integer number (2312048970).

Almost surely, 2^258890485000 is an apocalyptic number.

258890485000 is a gapful number since it is divisible by the number (20) 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 258890485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369927835200).

258890485000 is an abundant number, since it is smaller than the sum of its proper divisors (480965185400).

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

258890485000 is a wasteful number, since it uses less digits than its factorization.

258890485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The spelling of 258890485000 in words is "two hundred fifty-eight billion, eight hundred ninety million, four hundred eighty-five thousand".