561055560 has 256 divisors, whose sum is σ = 1993420800. Its totient is φ = 124996608.

The previous prime is 561055553. The next prime is 561055567. The reversal of 561055560 is 65550165.

It is an interprime number because it is at equal distance from previous prime (561055553) and next prime (561055567).

It is not an unprimeable number, because it can be changed into a prime (561055567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681309 + ... + 682131.

It is an arithmetic number, because the mean of its divisors is an integer number (7786800).

Almost surely, 2^561055560 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 561055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996710400).

561055560 is an abundant number, since it is smaller than the sum of its proper divisors (1432365240).

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

561055560 is a wasteful number, since it uses less digits than its factorization.

561055560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 561055560 is about 23686.6114081352. The cubic root of 561055560 is about 824.7746234686.

The spelling of 561055560 in words is "five hundred sixty-one million, fifty-five thousand, five hundred sixty".