561425845680 has 1200 divisors, whose sum is σ = 2470753692000. Its totient is φ = 117343199232.

The previous prime is 561425845627. The next prime is 561425845693. The reversal of 561425845680 is 86548524165.

561425845680 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 2 + 584 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 174951916 + ... + 174955124.

It is an arithmetic number, because the mean of its divisors is an integer number (2058961410).

Almost surely, 2^561425845680 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 561425845680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235376846000).

561425845680 is an abundant number, since it is smaller than the sum of its proper divisors (1909327846320).

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

561425845680 is a wasteful number, since it uses less digits than its factorization.

561425845680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 561425845680 in words is "five hundred sixty-one billion, four hundred twenty-five million, eight hundred forty-five thousand, six hundred eighty".