259755438080 has 208 divisors, whose sum is σ = 651715276800. Its totient is φ = 99258531840.

The previous prime is 259755438073. The next prime is 259755438109. The reversal of 259755438080 is 80834557952.

It is a happy number.

It is a super-2 number, since 2×259755438080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50152931 + ... + 50158109.

Almost surely, 2^259755438080 is an apocalyptic number.

259755438080 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 259755438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325857638400).

259755438080 is an abundant number, since it is smaller than the sum of its proper divisors (391959838720).

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

259755438080 is an equidigital number, since it uses as much as digits as its factorization.

259755438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 259755438080 in words is "two hundred fifty-nine billion, seven hundred fifty-five million, four hundred thirty-eight thousand, eighty".