259536960 has 560 divisors, whose sum is σ = 1062167040. Its totient is φ = 59719680.

The previous prime is 259536911. The next prime is 259537001. The reversal of 259536960 is 69635952.

259536960 is a `hidden beast` number, since 2 + 59 + 536 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8372145 + ... + 8372175.

Almost surely, 2^259536960 is an apocalyptic number.

259536960 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 259536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531083520).

259536960 is an abundant number, since it is smaller than the sum of its proper divisors (802630080).

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

259536960 is a wasteful number, since it uses less digits than its factorization.

259536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 259536960 is about 16110.1508372827. The cubic root of 259536960 is about 637.8713130977.

The spelling of 259536960 in words is "two hundred fifty-nine million, five hundred thirty-six thousand, nine hundred sixty".