259654868456952 has 256 divisors, whose sum is σ = 709439847321600. Its totient is φ = 78942763468800.

The previous prime is 259654868456899. The next prime is 259654868456957.

259654868456952 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259654868456957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641670513 + ... + 642075039.

It is an arithmetic number, because the mean of its divisors is an integer number (2771249403600).

Almost surely, 2^{259654868456952} 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 259654868456952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354719923660800).

259654868456952 is an abundant number, since it is smaller than the sum of its proper divisors (449784978864648).

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

259654868456952 is a wasteful number, since it uses less digits than its factorization.

259654868456952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405086 (or 405082 counting only the distinct ones).

The product of its digits is 44789760000, while the sum is 84.

The spelling of 259654868456952 in words is "two hundred fifty-nine trillion, six hundred fifty-four billion, eight hundred sixty-eight million, four hundred fifty-six thousand, nine hundred fifty-two".