66006106516056 has 256 divisors, whose sum is σ = 192770928000000. Its totient is φ = 18443078664192.

The previous prime is 66006106515931. The next prime is 66006106516061. The reversal of 66006106516056 is 65061560160066.

It is a junction number, because it is equal to n+sod(n) for n = 66006106515996 and 66006106516014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4193785035 + ... + 4193800773.

It is an arithmetic number, because the mean of its divisors is an integer number (753011437500).

Almost surely, 2^{66006106516056} 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 66006106516056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96385464000000).

66006106516056 is an abundant number, since it is smaller than the sum of its proper divisors (126764821483944).

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

66006106516056 is a wasteful number, since it uses less digits than its factorization.

66006106516056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17306 (or 17302 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 66006106516056 in words is "sixty-six trillion, six billion, one hundred six million, five hundred sixteen thousand, fifty-six".