260839704960 has 384 divisors, whose sum is σ = 916289337600. Its totient is φ = 68364767232.

The previous prime is 260839704947. The next prime is 260839704989. The reversal of 260839704960 is 69407938062.

It is a happy number.

260839704960 is a `hidden beast` number, since 2 + 6 + 0 + 83 + 9 + 70 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 260839704897 and 260839704906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82464339 + ... + 82467501.

It is an arithmetic number, because the mean of its divisors is an integer number (2386170150).

Almost surely, 2^260839704960 is an apocalyptic number.

260839704960 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 260839704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458144668800).

260839704960 is an abundant number, since it is smaller than the sum of its proper divisors (655449632640).

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

260839704960 is a wasteful number, since it uses less digits than its factorization.

260839704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 260839704960 in words is "two hundred sixty billion, eight hundred thirty-nine million, seven hundred four thousand, nine hundred sixty".