561424066560 has 1152 divisors, whose sum is σ = 2335321497600. Its totient is φ = 122040483840.

The previous prime is 561424066543. The next prime is 561424066573. The reversal of 561424066560 is 65660424165.

561424066560 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 24 + 0 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1339914031 + ... + 1339914449.

It is an arithmetic number, because the mean of its divisors is an integer number (2027188800).

Almost surely, 2^561424066560 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 561424066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167660748800).

561424066560 is an abundant number, since it is smaller than the sum of its proper divisors (1773897431040).

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

561424066560 is a wasteful number, since it uses less digits than its factorization.

561424066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 561424066560 in words is "five hundred sixty-one billion, four hundred twenty-four million, sixty-six thousand, five hundred sixty".