259126560 has 768 divisors, whose sum is σ = 1219276800. Its totient is φ = 49766400.

The previous prime is 259126547. The next prime is 259126561. The reversal of 259126560 is 65621952.

259126560 is a `hidden beast` number, since 2 + 5 + 91 + 2 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (259126561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6320140 + ... + 6320180.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^259126560 is an apocalyptic number.

259126560 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 259126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

259126560 is an abundant number, since it is smaller than the sum of its proper divisors (960150240).

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

259126560 is a wasteful number, since it uses less digits than its factorization.

259126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 259126560 is about 16097.4084870826. The cubic root of 259126560 is about 637.5349185026.

The spelling of 259126560 in words is "two hundred fifty-nine million, one hundred twenty-six thousand, five hundred sixty".