561889066816 has 336 divisors, whose sum is σ = 1514722180608. Its totient is φ = 201640919040.

The previous prime is 561889066811. The next prime is 561889066829. The reversal of 561889066816 is 618660988165.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561889066811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43305706 + ... + 43318678.

It is an arithmetic number, because the mean of its divisors is an integer number (4508101728).

Almost surely, 2^561889066816 is an apocalyptic number.

561889066816 is a gapful number since it is divisible by the number (56) 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 561889066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757361090304).

561889066816 is an abundant number, since it is smaller than the sum of its proper divisors (952833113792).

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

561889066816 is a wasteful number, since it uses less digits than its factorization.

561889066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13078 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 64.

The spelling of 561889066816 in words is "five hundred sixty-one billion, eight hundred eighty-nine million, sixty-six thousand, eight hundred sixteen".