561069056128 has 256 divisors, whose sum is σ = 1363806259200. Its totient is φ = 224792838144.

The previous prime is 561069056123. The next prime is 561069056161. The reversal of 561069056128 is 821650960165.

It is not an unprimeable number, because it can be changed into a prime (561069056123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214392676 + ... + 214395292.

It is an arithmetic number, because the mean of its divisors is an integer number (5327368200).

Almost surely, 2^561069056128 is an apocalyptic number.

561069056128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561069056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681903129600).

561069056128 is an abundant number, since it is smaller than the sum of its proper divisors (802737203072).

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

561069056128 is a wasteful number, since it uses less digits than its factorization.

561069056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 561069056128 in words is "five hundred sixty-one billion, sixty-nine million, fifty-six thousand, one hundred twenty-eight".