561669958080 has 2688 divisors, whose sum is σ = 2689933639680. Its totient is φ = 107722137600.

The previous prime is 561669958013. The next prime is 561669958123. The reversal of 561669958080 is 80859966165.

561669958080 is a `hidden beast` number, since 5 + 616 + 6 + 9 + 9 + 5 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 561669957999 and 561669958017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7910844445 + ... + 7910844515.

It is an arithmetic number, because the mean of its divisors is an integer number (1000719360).

Almost surely, 2^561669958080 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 561669958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344966819840).

561669958080 is an abundant number, since it is smaller than the sum of its proper divisors (2128263681600).

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

561669958080 is a wasteful number, since it uses less digits than its factorization.

561669958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 561669958080 in words is "five hundred sixty-one billion, six hundred sixty-nine million, nine hundred fifty-eight thousand, eighty".