561617910227556 has 864 divisors, whose sum is σ = 1818546245617920. Its totient is φ = 144816975249408.

The previous prime is 561617910227509. The next prime is 561617910227611. The reversal of 561617910227556 is 655722019716165.

561617910227556 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 1 + 79 + 1 + 0 + 2 + 2 + 7 + 556 = 666.

It is a super-3 number, since 3×561617910227556³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 561617910227493 and 561617910227502.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144411906060 + ... + 144411909948.

Almost surely, 2^{561617910227556} 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 561617910227556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909273122808960).

561617910227556 is an abundant number, since it is smaller than the sum of its proper divisors (1256928335390364).

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

561617910227556 is a wasteful number, since it uses less digits than its factorization.

561617910227556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 561617910227556 in words is "five hundred sixty-one trillion, six hundred seventeen billion, nine hundred ten million, two hundred twenty-seven thousand, five hundred fifty-six".