66505556052 has 144 divisors (see below), whose sum is σ = 183153909120. Its totient is φ = 20225376000.

The previous prime is 66505556041. The next prime is 66505556059. The reversal of 66505556052 is 25065550566.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66505555989 and 66505556007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66505556059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43438527 + ... + 43440057.

Almost surely, 2^66505556052 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 66505556052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91576954560).

66505556052 is an abundant number, since it is smaller than the sum of its proper divisors (116648353068).

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

66505556052 is a wasteful number, since it uses less digits than its factorization.

66505556052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 66505556052 in words is "sixty-six billion, five hundred five million, five hundred fifty-six thousand, fifty-two".