561965210496 has 192 divisors, whose sum is σ = 1767473136000. Its totient is φ = 170615439360.

The previous prime is 561965210489. The next prime is 561965210551. The reversal of 561965210496 is 694012569165.

561965210496 is a `hidden beast` number, since 5 + 6 + 1 + 96 + 52 + 10 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 144280 + ... + 1069928.

It is an arithmetic number, because the mean of its divisors is an integer number (9205589250).

Almost surely, 2^561965210496 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 561965210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883736568000).

561965210496 is an abundant number, since it is smaller than the sum of its proper divisors (1205507925504).

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

561965210496 is a wasteful number, since it uses less digits than its factorization.

561965210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925717 (or 925702 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 561965210496 in words is "five hundred sixty-one billion, nine hundred sixty-five million, two hundred ten thousand, four hundred ninety-six".