259285272768 has 168 divisors, whose sum is σ = 750639591936. Its totient is φ = 85564416000.

The previous prime is 259285272761. The next prime is 259285272803. The reversal of 259285272768 is 867272582952.

It is a happy number.

259285272768 is a `hidden beast` number, since 2 + 5 + 9 + 28 + 527 + 27 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (259285272761) 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, 74914558 + ... + 74918018.

Almost surely, 2^259285272768 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 259285272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375319795968).

259285272768 is an abundant number, since it is smaller than the sum of its proper divisors (491354319168).

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

259285272768 is a wasteful number, since it uses less digits than its factorization.

259285272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4730 counting only the distinct ones).

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

The spelling of 259285272768 in words is "two hundred fifty-nine billion, two hundred eighty-five million, two hundred seventy-two thousand, seven hundred sixty-eight".