561840289920 has 1536 divisors, whose sum is σ = 2504696463360. Its totient is φ = 112870195200.

The previous prime is 561840289919. The next prime is 561840289921. The reversal of 561840289920 is 29982048165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (561840289919) and next prime (561840289921).

It is a super-2 number, since 2×561840289920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561840289921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1153675917 + ... + 1153676403.

It is an arithmetic number, because the mean of its divisors is an integer number (1630661760).

Almost surely, 2^561840289920 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 561840289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252348231680).

561840289920 is an abundant number, since it is smaller than the sum of its proper divisors (1942856173440).

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

561840289920 is a wasteful number, since it uses less digits than its factorization.

561840289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 561840289920 in words is "five hundred sixty-one billion, eight hundred forty million, two hundred eighty-nine thousand, nine hundred twenty".