260800727000 has 128 divisors (see below), whose sum is σ = 669744391680. Its totient is φ = 94268080000.

The previous prime is 260800726957. The next prime is 260800727023. The reversal of 260800727000 is 727008062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766015 + ... + 1907985.

It is an arithmetic number, because the mean of its divisors is an integer number (5232378060).

Almost surely, 2^260800727000 is an apocalyptic number.

260800727000 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 260800727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334872195840).

260800727000 is an abundant number, since it is smaller than the sum of its proper divisors (408943664680).

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

260800727000 is a wasteful number, since it uses less digits than its factorization.

260800727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142170 (or 142156 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 260800727000 in words is "two hundred sixty billion, eight hundred million, seven hundred twenty-seven thousand".