259619959872 has 672 divisors, whose sum is σ = 940536396800. Its totient is φ = 68035645440.

The previous prime is 259619959853. The next prime is 259619959891. The reversal of 259619959872 is 278959916952.

259619959872 is a `hidden beast` number, since 25 + 9 + 6 + 1 + 9 + 9 + 598 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (259619959853) and next prime (259619959891).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 259619959872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 696031878 + ... + 696032250.

Almost surely, 2^259619959872 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 259619959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470268198400).

259619959872 is an abundant number, since it is smaller than the sum of its proper divisors (680916436928).

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

259619959872 is a wasteful number, since it uses less digits than its factorization.

259619959872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 669 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 72.

The spelling of 259619959872 in words is "two hundred fifty-nine billion, six hundred nineteen million, nine hundred fifty-nine thousand, eight hundred seventy-two".