259385898240 has 1728 divisors, whose sum is σ = 1137267210240. Its totient is φ = 56435097600.

The previous prime is 259385898217. The next prime is 259385898257. The reversal of 259385898240 is 42898583952.

259385898240 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 8 + 589 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4252227810 + ... + 4252227870.

Almost surely, 2^259385898240 is an apocalyptic number.

259385898240 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 259385898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568633605120).

259385898240 is an abundant number, since it is smaller than the sum of its proper divisors (877881312000).

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

259385898240 is an frugal number, since it uses more digits than its factorization.

259385898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

It can be divided in two parts, 259385 and 898240, that added together give a cube (1157625 = 105³).

The spelling of 259385898240 in words is "two hundred fifty-nine billion, three hundred eighty-five million, eight hundred ninety-eight thousand, two hundred forty".