259224099840 has 264 divisors, whose sum is σ = 902938053888. Its totient is φ = 68762173440.

The previous prime is 259224099839. The next prime is 259224099853. The reversal of 259224099840 is 48990422952.

It is a happy number.

259224099840 is a `hidden beast` number, since 2 + 592 + 2 + 4 + 0 + 9 + 9 + 8 + 40 = 666.

259224099840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8786554 + ... + 8816006.

Almost surely, 2^259224099840 is an apocalyptic number.

259224099840 is a gapful number since it is divisible by the number (20) 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 259224099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451469026944).

259224099840 is an abundant number, since it is smaller than the sum of its proper divisors (643713954048).

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

259224099840 is a wasteful number, since it uses less digits than its factorization.

259224099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29675 (or 29654 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 259224099840 in words is "two hundred fifty-nine billion, two hundred twenty-four million, ninety-nine thousand, eight hundred forty".