259964819520 has 1008 divisors, whose sum is σ = 1039158102528. Its totient is φ = 54840360960.

The previous prime is 259964819507. The next prime is 259964819539. The reversal of 259964819520 is 25918469952.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 771408792 + ... + 771409128.

It is an arithmetic number, because the mean of its divisors is an integer number (1030910816).

Almost surely, 2^259964819520 is an apocalyptic number.

259964819520 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 259964819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519579051264).

259964819520 is an abundant number, since it is smaller than the sum of its proper divisors (779193283008).

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

259964819520 is a wasteful number, since it uses less digits than its factorization.

259964819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 259964819520 in words is "two hundred fifty-nine billion, nine hundred sixty-four million, eight hundred nineteen thousand, five hundred twenty".