561989062656 has 1092 divisors, whose sum is σ = 2057559803712. Its totient is φ = 152667389952.

The previous prime is 561989062639. The next prime is 561989062673. The reversal of 561989062656 is 656260989165.

561989062656 is a `hidden beast` number, since 5 + 619 + 8 + 9 + 0 + 6 + 2 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (561989062639) and next prime (561989062673).

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 = 561989062593 and 561989062602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3365203885 + ... + 3365204051.

Almost surely, 2^561989062656 is an apocalyptic number.

561989062656 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 561989062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028779901856).

561989062656 is an abundant number, since it is smaller than the sum of its proper divisors (1495570741056).

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

561989062656 is an equidigital number, since it uses as much as digits as its factorization.

561989062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 561989062656 in words is "five hundred sixty-one billion, nine hundred eighty-nine million, sixty-two thousand, six hundred fifty-six".