259098126480 has 240 divisors, whose sum is σ = 909582735360. Its totient is φ = 66017203200.

The previous prime is 259098126433. The next prime is 259098126487. The reversal of 259098126480 is 84621890952.

It is a happy number.

259098126480 is a `hidden beast` number, since 2 + 59 + 0 + 98 + 1 + 26 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (259098126487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689810 + ... + 1836750.

It is an arithmetic number, because the mean of its divisors is an integer number (3789928064).

Almost surely, 2^259098126480 is an apocalyptic number.

259098126480 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 259098126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454791367680).

259098126480 is an abundant number, since it is smaller than the sum of its proper divisors (650484608880).

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

259098126480 is a wasteful number, since it uses less digits than its factorization.

259098126480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147070 (or 147061 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 259098126480 in words is "two hundred fifty-nine billion, ninety-eight million, one hundred twenty-six thousand, four hundred eighty".