561445560 has 128 divisors (see below), whose sum is σ = 2015496000. Its totient is φ = 138198528.

The previous prime is 561445531. The next prime is 561445579. The reversal of 561445560 is 65544165.

561445560 is a `hidden beast` number, since 5 + 61 + 44 + 556 + 0 = 666.

It is a super-2 number, since 2×561445560² = 630442233687427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5955 + ... + 34034.

Almost surely, 2^561445560 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 561445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007748000).

561445560 is an abundant number, since it is smaller than the sum of its proper divisors (1454050440).

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

561445560 is a wasteful number, since it uses less digits than its factorization.

561445560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40022 (or 40012 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 561445560 is about 23694.8424767923. The cubic root of 561445560 is about 824.9656845231.

The spelling of 561445560 in words is "five hundred sixty-one million, four hundred forty-five thousand, five hundred sixty".