259041464352 has 288 divisors, whose sum is σ = 832319167680. Its totient is φ = 75700316160.

The previous prime is 259041464333. The next prime is 259041464387. The reversal of 259041464352 is 253464140952.

259041464352 is a `hidden beast` number, since 2 + 590 + 4 + 1 + 4 + 6 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 259041464298 and 259041464307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149474878 + ... + 149476610.

It is an arithmetic number, because the mean of its divisors is an integer number (2889997110).

Almost surely, 2^259041464352 is an apocalyptic number.

259041464352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259041464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416159583840).

259041464352 is an abundant number, since it is smaller than the sum of its proper divisors (573277703328).

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

259041464352 is a wasteful number, since it uses less digits than its factorization.

259041464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 259041464352 in words is "two hundred fifty-nine billion, forty-one million, four hundred sixty-four thousand, three hundred fifty-two".