259665241360 has 320 divisors, whose sum is σ = 733488768000. Its totient is φ = 85349376000.

The previous prime is 259665241321. The next prime is 259665241361. The reversal of 259665241360 is 63142566952.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (259665241361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120158680 + ... + 120160840.

It is an arithmetic number, because the mean of its divisors is an integer number (2292152400).

Almost surely, 2^259665241360 is an apocalyptic number.

259665241360 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 259665241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366744384000).

259665241360 is an abundant number, since it is smaller than the sum of its proper divisors (473823526640).

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

259665241360 is a wasteful number, since it uses less digits than its factorization.

259665241360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 259665241360 in words is "two hundred fifty-nine billion, six hundred sixty-five million, two hundred forty-one thousand, three hundred sixty".