6552065584656 has 200 divisors, whose sum is σ = 19141254963864. Its totient is φ = 2163649259520.

The previous prime is 6552065584637. The next prime is 6552065584681. The reversal of 6552065584656 is 6564855602556.

6552065584656 is a `hidden beast` number, since 6 + 5 + 5 + 20 + 6 + 558 + 4 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2305234890000 + 4246830694656 = 1518300^2 + 2060784^2 .

It is a super-2 number, since 2×6552065584656² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6552065584593 and 6552065584602.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62950450 + ... + 63054446.

Almost surely, 2^{6552065584656} 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 6552065584656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9570627481932).

6552065584656 is an abundant number, since it is smaller than the sum of its proper divisors (12589189379208).

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

6552065584656 is a wasteful number, since it uses less digits than its factorization.

6552065584656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104471 (or 104456 counting only the distinct ones).

The product of its (nonzero) digits is 259200000, while the sum is 63.

The spelling of 6552065584656 in words is "six trillion, five hundred fifty-two billion, sixty-five million, five hundred eighty-four thousand, six hundred fifty-six".