260923080768 has 168 divisors, whose sum is σ = 803447691552. Its totient is φ = 74514456576.

The previous prime is 260923080709. The next prime is 260923080829. The reversal of 260923080768 is 867080329062.

260923080768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 260923080768.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25236496 + ... + 25246832.

Almost surely, 2^260923080768 is an apocalyptic number.

260923080768 is a gapful number since it is divisible by the number (28) 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 260923080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401723845776).

260923080768 is an abundant number, since it is smaller than the sum of its proper divisors (542524610784).

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

260923080768 is a wasteful number, since it uses less digits than its factorization.

260923080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 260923080768 in words is "two hundred sixty billion, nine hundred twenty-three million, eighty thousand, seven hundred sixty-eight".