259933923960 has 128 divisors (see below), whose sum is σ = 824280192000. Its totient is φ = 65392621056.

The previous prime is 259933923929. The next prime is 259933923989. The reversal of 259933923960 is 69329339952.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 259933923894 and 259933923903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306414 + ... + 783426.

It is an arithmetic number, because the mean of its divisors is an integer number (6439689000).

Almost surely, 2^259933923960 is an apocalyptic number.

259933923960 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 259933923960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412140096000).

259933923960 is an abundant number, since it is smaller than the sum of its proper divisors (564346268040).

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

259933923960 is a wasteful number, since it uses less digits than its factorization.

259933923960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477285 (or 477281 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 60.

The spelling of 259933923960 in words is "two hundred fifty-nine billion, nine hundred thirty-three million, nine hundred twenty-three thousand, nine hundred sixty".