259249496832 has 180 divisors, whose sum is σ = 773543897896. Its totient is φ = 86359633920.

The previous prime is 259249496813. The next prime is 259249496839. The reversal of 259249496832 is 238694942952.

259249496832 is a `hidden beast` number, since 2 + 59 + 2 + 494 + 9 + 68 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 259249496832.

It is not an unprimeable number, because it can be changed into a prime (259249496839) 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 19 ways as a sum of consecutive naturals, for example, 41696988 + ... + 41703204.

Almost surely, 2^259249496832 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 259249496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386771948948).

259249496832 is an abundant number, since it is smaller than the sum of its proper divisors (514294401064).

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

259249496832 is an equidigital number, since it uses as much as digits as its factorization.

259249496832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8233 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 259249496832 in words is "two hundred fifty-nine billion, two hundred forty-nine million, four hundred ninety-six thousand, eight hundred thirty-two".