561675905856 has 896 divisors, whose sum is σ = 1955183247360. Its totient is φ = 156513337344.

The previous prime is 561675905849. The next prime is 561675905897. The reversal of 561675905856 is 658509576165.

561675905856 is a `hidden beast` number, since 5 + 616 + 7 + 5 + 9 + 0 + 5 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 561675905793 and 561675905802.

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 127 ways as a sum of consecutive naturals, for example, 1794491556 + ... + 1794491868.

It is an arithmetic number, because the mean of its divisors is an integer number (2182124160).

Almost surely, 2^561675905856 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 561675905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977591623680).

561675905856 is an abundant number, since it is smaller than the sum of its proper divisors (1393507341504).

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

561675905856 is a wasteful number, since it uses less digits than its factorization.

561675905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 561675905856 in words is "five hundred sixty-one billion, six hundred seventy-five million, nine hundred five thousand, eight hundred fifty-six".