259105230720 has 1536 divisors, whose sum is σ = 1134207360000. Its totient is φ = 53162016768.

The previous prime is 259105230707. The next prime is 259105230721. The reversal of 259105230720 is 27032501952.

259105230720 is a `hidden beast` number, since 2 + 59 + 10 + 523 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259105230721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1738961206 + ... + 1738961354.

It is an arithmetic number, because the mean of its divisors is an integer number (738416250).

Almost surely, 2^259105230720 is an apocalyptic number.

259105230720 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 259105230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567103680000).

259105230720 is an abundant number, since it is smaller than the sum of its proper divisors (875102129280).

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

259105230720 is a wasteful number, since it uses less digits than its factorization.

259105230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 259105230720 in words is "two hundred fifty-nine billion, one hundred five million, two hundred thirty thousand, seven hundred twenty".