260515704768 has 224 divisors, whose sum is σ = 771254410752. Its totient is φ = 76936704000.

The previous prime is 260515704751. The next prime is 260515704769. The reversal of 260515704768 is 867407515062.

It is a self number, because there is not a number n which added to its sum of digits gives 260515704768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260515704769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16894630 + ... + 16910042.

It is an arithmetic number, because the mean of its divisors is an integer number (3443100048).

Almost surely, 2^260515704768 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 260515704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385627205376).

260515704768 is an abundant number, since it is smaller than the sum of its proper divisors (510738705984).

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

260515704768 is a wasteful number, since it uses less digits than its factorization.

260515704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15643 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 260515704768 in words is "two hundred sixty billion, five hundred fifteen million, seven hundred four thousand, seven hundred sixty-eight".