259544568416 has 96 divisors (see below), whose sum is σ = 605225053440. Its totient is φ = 107199945216.

The previous prime is 259544568403. The next prime is 259544568457. The reversal of 259544568416 is 614865445952.

259544568416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3516791 + ... + 3589833.

It is an arithmetic number, because the mean of its divisors is an integer number (6304427640).

Almost surely, 2^259544568416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259544568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302612526720).

259544568416 is an abundant number, since it is smaller than the sum of its proper divisors (345680485024).

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

259544568416 is a wasteful number, since it uses less digits than its factorization.

259544568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73636 (or 73628 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 59.

The spelling of 259544568416 in words is "two hundred fifty-nine billion, five hundred forty-four million, five hundred sixty-eight thousand, four hundred sixteen".