260793688000 has 224 divisors, whose sum is σ = 685387422720. Its totient is φ = 98086630400.

The previous prime is 260793687991. The next prime is 260793688033. The reversal of 260793688000 is 886397062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10843989 + ... + 10868011.

It is an arithmetic number, because the mean of its divisors is an integer number (3059765280).

Almost surely, 2^260793688000 is an apocalyptic number.

260793688000 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 260793688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342693711360).

260793688000 is an abundant number, since it is smaller than the sum of its proper divisors (424593734720).

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

260793688000 is a wasteful number, since it uses less digits than its factorization.

260793688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24132 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 260793688000 in words is "two hundred sixty billion, seven hundred ninety-three million, six hundred eighty-eight thousand".