259282895353248 has 192 divisors, whose sum is σ = 740082912694272. Its totient is φ = 79008988584960.

The previous prime is 259282895353217. The next prime is 259282895353249. The reversal of 259282895353248 is 842353598282952.

259282895353248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 259282895353248.

It is not an unprimeable number, because it can be changed into a prime (259282895353249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54185415 + ... + 58776057.

It is an arithmetic number, because the mean of its divisors is an integer number (3854598503616).

Almost surely, 2^{259282895353248} 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 259282895353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370041456347136).

259282895353248 is an abundant number, since it is smaller than the sum of its proper divisors (480800017341024).

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

259282895353248 is a wasteful number, since it uses less digits than its factorization.

259282895353248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591107 (or 4591099 counting only the distinct ones).

The product of its digits is 2985984000, while the sum is 75.

The spelling of 259282895353248 in words is "two hundred fifty-nine trillion, two hundred eighty-two billion, eight hundred ninety-five million, three hundred fifty-three thousand, two hundred forty-eight".