561056445180 has 576 divisors, whose sum is σ = 2205135249408. Its totient is φ = 116332381440.

The previous prime is 561056445133. The next prime is 561056445193. The reversal of 561056445180 is 81544650165.

561056445180 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 564 + 4 + 5 + 1 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210684529 + ... + 210687191.

It is an arithmetic number, because the mean of its divisors is an integer number (3828359808).

Almost surely, 2^561056445180 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 561056445180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102567624704).

561056445180 is an abundant number, since it is smaller than the sum of its proper divisors (1644078804228).

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

561056445180 is a wasteful number, since it uses less digits than its factorization.

561056445180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 561056445180 in words is "five hundred sixty-one billion, fifty-six million, four hundred forty-five thousand, one hundred eighty".