259068806200 has 96 divisors (see below), whose sum is σ = 611620853760. Its totient is φ = 102031459200.

The previous prime is 259068806147. The next prime is 259068806201. The reversal of 259068806200 is 2608860952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259068806201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41309065 + ... + 41315335.

It is an arithmetic number, because the mean of its divisors is an integer number (6371050560).

Almost surely, 2^259068806200 is an apocalyptic number.

259068806200 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 259068806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305810426880).

259068806200 is an abundant number, since it is smaller than the sum of its proper divisors (352552047560).

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

259068806200 is a wasteful number, since it uses less digits than its factorization.

259068806200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437 (or 9428 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 259068806200 in words is "two hundred fifty-nine billion, sixty-eight million, eight hundred six thousand, two hundred".