260313507966816 has 120 divisors (see below), whose sum is σ = 765701655808320. Its totient is φ = 86756790880512.

The previous prime is 260313507966793. The next prime is 260313507966823. The reversal of 260313507966816 is 618669705313062.

260313507966816 is a `hidden beast` number, since 2 + 6 + 0 + 31 + 3 + 507 + 96 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7330065 + ... + 23965743.

It is an arithmetic number, because the mean of its divisors is an integer number (6380847131736).

Almost surely, 2^{260313507966816} 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 260313507966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382850827904160).

260313507966816 is an abundant number, since it is smaller than the sum of its proper divisors (505388147841504).

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

260313507966816 is a wasteful number, since it uses less digits than its factorization.

260313507966816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16641738 (or 16641721 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 260313507966816 in words is "two hundred sixty trillion, three hundred thirteen billion, five hundred seven million, nine hundred sixty-six thousand, eight hundred sixteen".