260666048834880 has 896 divisors, whose sum is σ = 936177525964800. Its totient is φ = 61005466828800.

The previous prime is 260666048834857. The next prime is 260666048834887. The reversal of 260666048834880 is 88438840666062.

260666048834880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260666048834880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260666048834887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71239694491 + ... + 71239698149.

It is an arithmetic number, because the mean of its divisors is an integer number (1044840988800).

Almost surely, 2^{260666048834880} is an apocalyptic number.

260666048834880 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 260666048834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468088762982400).

260666048834880 is an abundant number, since it is smaller than the sum of its proper divisors (675511477129920).

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

260666048834880 is a wasteful number, since it uses less digits than its factorization.

260666048834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 69.

The spelling of 260666048834880 in words is "two hundred sixty trillion, six hundred sixty-six billion, forty-eight million, eight hundred thirty-four thousand, eight hundred eighty".