259604812507920 has 640 divisors, whose sum is σ = 911323767974400. Its totient is φ = 60556330598400.

The previous prime is 259604812507903. The next prime is 259604812507981. The reversal of 259604812507920 is 29705218406952.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35229309996 + ... + 35229317364.

It is an arithmetic number, because the mean of its divisors is an integer number (1423943387460).

Almost surely, 2^{259604812507920} is an apocalyptic number.

259604812507920 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 259604812507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455661883987200).

259604812507920 is an abundant number, since it is smaller than the sum of its proper divisors (651718955466480).

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

259604812507920 is a wasteful number, since it uses less digits than its factorization.

259604812507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 259604812507920 in words is "two hundred fifty-nine trillion, six hundred four billion, eight hundred twelve million, five hundred seven thousand, nine hundred twenty".