259872625728 has 112 divisors (see below), whose sum is σ = 764184928320. Its totient is φ = 86600678400.

The previous prime is 259872625721. The next prime is 259872625729. The reversal of 259872625728 is 827526278952.

It is a happy number.

259872625728 is a `hidden beast` number, since 2 + 59 + 8 + 7 + 2 + 6 + 2 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (259872625721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7050868 + ... + 7087628.

Almost surely, 2^259872625728 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 259872625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382092464160).

259872625728 is an abundant number, since it is smaller than the sum of its proper divisors (504312302592).

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

259872625728 is a wasteful number, since it uses less digits than its factorization.

259872625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40873 (or 40857 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 259872625728 in words is "two hundred fifty-nine billion, eight hundred seventy-two million, six hundred twenty-five thousand, seven hundred twenty-eight".