260404226688 has 128 divisors (see below), whose sum is σ = 706659655680. Its totient is φ = 84932849664.

The previous prime is 260404226671. The next prime is 260404226773. The reversal of 260404226688 is 886622404062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×260404226688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7574145 + ... + 7608447.

It is an arithmetic number, because the mean of its divisors is an integer number (5520778560).

Almost surely, 2^260404226688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260404226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353329827840).

260404226688 is an abundant number, since it is smaller than the sum of its proper divisors (446255428992).

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

260404226688 is a wasteful number, since it uses less digits than its factorization.

260404226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34746 (or 34734 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 260404226688 in words is "two hundred sixty billion, four hundred four million, two hundred twenty-six thousand, six hundred eighty-eight".