259624720320 has 336 divisors, whose sum is σ = 964218816288. Its totient is φ = 59012997120.

The previous prime is 259624720319. The next prime is 259624720343. The reversal of 259624720320 is 23027426952.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8498994 + ... + 8529486.

It is an arithmetic number, because the mean of its divisors is an integer number (2869698858).

Almost surely, 2^259624720320 is an apocalyptic number.

259624720320 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 259624720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482109408144).

259624720320 is an abundant number, since it is smaller than the sum of its proper divisors (704594095968).

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

259624720320 is a wasteful number, since it uses less digits than its factorization.

259624720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30708 (or 30691 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 259624720320 in words is "two hundred fifty-nine billion, six hundred twenty-four million, seven hundred twenty thousand, three hundred twenty".