259830144000 has 792 divisors, whose sum is σ = 1089421555248. Its totient is φ = 59376844800.

The previous prime is 259830143959. The next prime is 259830144047. The reversal of 259830144000 is 441038952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56445699 + ... + 56450301.

Almost surely, 2^259830144000 is an apocalyptic number.

259830144000 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 259830144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544710777624).

259830144000 is an abundant number, since it is smaller than the sum of its proper divisors (829591411248).

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

259830144000 is a wasteful number, since it uses less digits than its factorization.

259830144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 259830144000 in words is "two hundred fifty-nine billion, eight hundred thirty million, one hundred forty-four thousand".