260810725200 has 480 divisors, whose sum is σ = 888113823744. Its totient is φ = 65318400000.

The previous prime is 260810725163. The next prime is 260810725247. The reversal of 260810725200 is 2527018062.

260810725200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413328885 + ... + 413329515.

Almost surely, 2^260810725200 is an apocalyptic number.

260810725200 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 260810725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444056911872).

260810725200 is an abundant number, since it is smaller than the sum of its proper divisors (627303098544).

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

260810725200 is a wasteful number, since it uses less digits than its factorization.

260810725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 260810725200 in words is "two hundred sixty billion, eight hundred ten million, seven hundred twenty-five thousand, two hundred".