259242457200 has 60 divisors (see below), whose sum is σ = 830440008408. Its totient is φ = 69131321600.

The previous prime is 259242457183. The next prime is 259242457213. The reversal of 259242457200 is 2754242952.

259242457200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108016491 + ... + 108018890.

Almost surely, 2^259242457200 is an apocalyptic number.

259242457200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259242457200 is an abundant number, since it is smaller than the sum of its proper divisors (571197551208).

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

259242457200 is a wasteful number, since it uses less digits than its factorization.

259242457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216035402 (or 216035391 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 259242457200 in words is "two hundred fifty-nine billion, two hundred forty-two million, four hundred fifty-seven thousand, two hundred".