259093478369880 has 768 divisors, whose sum is σ = 1086253483392000. Its totient is φ = 53770903971840.

The previous prime is 259093478369863. The next prime is 259093478369909. The reversal of 259093478369880 is 88963874390952.

259093478369880 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 9 + 3 + 478 + 3 + 69 + 8 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 259093478369880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 739865787 + ... + 740215893.

It is an arithmetic number, because the mean of its divisors is an integer number (1414392556500).

Almost surely, 2^{259093478369880} is an apocalyptic number.

259093478369880 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 259093478369880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543126741696000).

259093478369880 is an abundant number, since it is smaller than the sum of its proper divisors (827160005022120).

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

259093478369880 is a wasteful number, since it uses less digits than its factorization.

259093478369880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350965 (or 350944 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 259093478369880 in words is "two hundred fifty-nine trillion, ninety-three billion, four hundred seventy-eight million, three hundred sixty-nine thousand, eight hundred eighty".