259395480960 has 512 divisors, whose sum is σ = 1064116224000. Its totient is φ = 52160716800.

The previous prime is 259395480937. The next prime is 259395481129. The reversal of 259395480960 is 69084593952.

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 = 259395480894 and 259395480903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4554741 + ... + 4611339.

It is an arithmetic number, because the mean of its divisors is an integer number (2078352000).

Almost surely, 2^259395480960 is an apocalyptic number.

259395480960 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 259395480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532058112000).

259395480960 is an abundant number, since it is smaller than the sum of its proper divisors (804720743040).

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

259395480960 is a wasteful number, since it uses less digits than its factorization.

259395480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56670 (or 56658 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 259395480960 in words is "two hundred fifty-nine billion, three hundred ninety-five million, four hundred eighty thousand, nine hundred sixty".