259886880 has 240 divisors, whose sum is σ = 1001113344. Its totient is φ = 62968320.

The previous prime is 259886863. The next prime is 259886899. The reversal of 259886880 is 88688952.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×259886880² = 135082380792268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141649 + ... + 143471.

Almost surely, 2^259886880 is an apocalyptic number.

259886880 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 259886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500556672).

259886880 is an abundant number, since it is smaller than the sum of its proper divisors (741226464).

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

259886880 is a wasteful number, since it uses less digits than its factorization.

259886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 259886880 is about 16121.0074126898. The cubic root of 259886880 is about 638.1578537811.

The spelling of 259886880 in words is "two hundred fifty-nine million, eight hundred eighty-six thousand, eight hundred eighty".