3559779248560 has 80 divisors (see below), whose sum is σ = 8481478284576. Its totient is φ = 1388742211584.

The previous prime is 3559779248513. The next prime is 3559779248563. The reversal of 3559779248560 is 658429779553.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3559779248560.

It is not an unprimeable number, because it can be changed into a prime (3559779248563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564612 + ... + 3093148.

Almost surely, 2^{3559779248560} 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 3559779248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240739142288).

3559779248560 is an abundant number, since it is smaller than the sum of its proper divisors (4921699036016).

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

3559779248560 is a wasteful number, since it uses less digits than its factorization.

3559779248560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529270 (or 1529264 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 70.

The spelling of 3559779248560 in words is "three trillion, five hundred fifty-nine billion, seven hundred seventy-nine million, two hundred forty-eight thousand, five hundred sixty".