260605566560 has 96 divisors (see below), whose sum is σ = 626924188800. Its totient is φ = 102353172480.

The previous prime is 260605566539. The next prime is 260605566577. The reversal of 260605566560 is 65665506062.

It is a super-2 number, since 2×260605566560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2230886 + ... + 2344794.

It is an arithmetic number, because the mean of its divisors is an integer number (6530460300).

Almost surely, 2^260605566560 is an apocalyptic number.

260605566560 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 260605566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313462094400).

260605566560 is an abundant number, since it is smaller than the sum of its proper divisors (366318622240).

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

260605566560 is a wasteful number, since it uses less digits than its factorization.

260605566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114184 (or 114176 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 260605566560 in words is "two hundred sixty billion, six hundred five million, five hundred sixty-six thousand, five hundred sixty".