259945938000 has 480 divisors, whose sum is σ = 1040575041792. Its totient is φ = 59246208000.

The previous prime is 259945937981. The next prime is 259945938023. The reversal of 259945938000 is 839549952.

It is a happy number.

259945938000 is a `hidden beast` number, since 2 + 599 + 45 + 9 + 3 + 8 + 0 + 0 + 0 = 666.

259945938000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46995235 + ... + 47000765.

Almost surely, 2^259945938000 is an apocalyptic number.

259945938000 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 259945938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520287520896).

259945938000 is an abundant number, since it is smaller than the sum of its proper divisors (780629103792).

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

259945938000 is a wasteful number, since it uses less digits than its factorization.

259945938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 259945938000 in words is "two hundred fifty-nine billion, nine hundred forty-five million, nine hundred thirty-eight thousand".