561519405216 has 960 divisors, whose sum is σ = 2195283492864. Its totient is φ = 136310169600.

The previous prime is 561519405191. The next prime is 561519405253. The reversal of 561519405216 is 612504915165.

561519405216 is a `hidden beast` number, since 5 + 6 + 15 + 19 + 405 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 566618481 + ... + 566619471.

Almost surely, 2^561519405216 is an apocalyptic number.

561519405216 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 561519405216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097641746432).

561519405216 is an abundant number, since it is smaller than the sum of its proper divisors (1633764087648).

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

561519405216 is a wasteful number, since it uses less digits than its factorization.

561519405216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 561519405216 in words is "five hundred sixty-one billion, five hundred nineteen million, four hundred five thousand, two hundred sixteen".