259661362032 has 120 divisors (see below), whose sum is σ = 745240947360. Its totient is φ = 84349071360.

The previous prime is 259661362031. The next prime is 259661362043. The reversal of 259661362032 is 230263166952.

259661362032 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 6 + 13 + 620 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259661362031) 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, 5401848 + ... + 5449704.

It is an arithmetic number, because the mean of its divisors is an integer number (6210341228).

Almost surely, 2^259661362032 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 259661362032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372620473680).

259661362032 is an abundant number, since it is smaller than the sum of its proper divisors (485579585328).

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

259661362032 is a wasteful number, since it uses less digits than its factorization.

259661362032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48831 (or 48822 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 259661362032 in words is "two hundred fifty-nine billion, six hundred sixty-one million, three hundred sixty-two thousand, thirty-two".