5563546560 has 1120 divisors, whose sum is σ = 24783897600. Its totient is φ = 1164533760.

The previous prime is 5563546511. The next prime is 5563546601. The reversal of 5563546560 is 656453655.

5563546560 is a `hidden beast` number, since 5 + 5 + 635 + 4 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70424601 + ... + 70424679.

It is an arithmetic number, because the mean of its divisors is an integer number (22128480).

Almost surely, 2^5563546560 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 5563546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391948800).

5563546560 is an abundant number, since it is smaller than the sum of its proper divisors (19220351040).

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

5563546560 is a wasteful number, since it uses less digits than its factorization.

5563546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The square root of 5563546560 is about 74589.1852750786. The cubic root of 5563546560 is about 1771.9463794206.

It can be divided in two parts, 556 and 3546560, that added together give a triangular number (3547116 = T₂₆₆₃).

The spelling of 5563546560 in words is "five billion, five hundred sixty-three million, five hundred forty-six thousand, five hundred sixty".