260509567200 has 144 divisors (see below), whose sum is σ = 855463590576. Its totient is φ = 68854374400.

The previous prime is 260509567147. The next prime is 260509567217. The reversal of 260509567200 is 2765905062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209091 + ... + 751490.

It is an arithmetic number, because the mean of its divisors is an integer number (5940719379).

Almost surely, 2^260509567200 is an apocalyptic number.

260509567200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260509567200 is an abundant number, since it is smaller than the sum of its proper divisors (594954023376).

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

260509567200 is a wasteful number, since it uses less digits than its factorization.

260509567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960717 (or 960704 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 260509567200 in words is "two hundred sixty billion, five hundred nine million, five hundred sixty-seven thousand, two hundred".