259956424224 has 384 divisors, whose sum is σ = 896690995200. Its totient is φ = 71699281920.

The previous prime is 259956424223. The next prime is 259956424243. The reversal of 259956424224 is 422424659952.

259956424224 is a `hidden beast` number, since 2 + 59 + 9 + 564 + 2 + 4 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (259956424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87555412 + ... + 87558380.

It is an arithmetic number, because the mean of its divisors is an integer number (2335132800).

Almost surely, 2^259956424224 is an apocalyptic number.

259956424224 is a gapful number since it is divisible by the number (24) 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 259956424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448345497600).

259956424224 is an abundant number, since it is smaller than the sum of its proper divisors (636734570976).

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

259956424224 is a wasteful number, since it uses less digits than its factorization.

259956424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3479 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 259956424224 in words is "two hundred fifty-nine billion, nine hundred fifty-six million, four hundred twenty-four thousand, two hundred twenty-four".