259480027136 has 272 divisors, whose sum is σ = 619678522368. Its totient is φ = 107269324800.

The previous prime is 259480027133. The next prime is 259480027139. The reversal of 259480027136 is 631720084952.

259480027136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259480027133) and next prime (259480027139).

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259480027133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379911851 + ... + 379912533.

It is a 1-persistent number, because it is pandigital, but 2⋅259480027136 = 518960054272 is not.

Almost surely, 2^259480027136 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 259480027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309839261184).

259480027136 is an abundant number, since it is smaller than the sum of its proper divisors (360198495232).

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

259480027136 is an equidigital number, since it uses as much as digits as its factorization.

259480027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 259480027136 in words is "two hundred fifty-nine billion, four hundred eighty million, twenty-seven thousand, one hundred thirty-six".