5665561650056 has 192 divisors, whose sum is σ = 13570523282880. Its totient is φ = 2192672401920.

The previous prime is 5665561650031. The next prime is 5665561650061. The reversal of 5665561650056 is 6500561655665.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5665561649983 and 5665561650010.

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 47 ways as a sum of consecutive naturals, for example, 1083900515 + ... + 1083905741.

It is an arithmetic number, because the mean of its divisors is an integer number (70679808765).

Almost surely, 2^{5665561650056} is an apocalyptic number.

5665561650056 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 5665561650056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785261641440).

5665561650056 is an abundant number, since it is smaller than the sum of its proper divisors (7904961632824).

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

5665561650056 is a wasteful number, since it uses less digits than its factorization.

5665561650056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 56.

The spelling of 5665561650056 in words is "five trillion, six hundred sixty-five billion, five hundred sixty-one million, six hundred fifty thousand, fifty-six".