6611166506106 has 96 divisors (see below), whose sum is σ = 15193117330560. Its totient is φ = 2070494742528.

The previous prime is 6611166506053. The next prime is 6611166506107. The reversal of 6611166506106 is 6016056611166.

6611166506106 is a `hidden beast` number, since 6 + 6 + 11 + 16 + 6 + 5 + 0 + 610 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6611166506107) by changing a digit.

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, 491274130 + ... + 491287586.

It is an arithmetic number, because the mean of its divisors is an integer number (158261638860).

Almost surely, 2^{6611166506106} is an apocalyptic number.

6611166506106 is an abundant number, since it is smaller than the sum of its proper divisors (8581950824454).

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

6611166506106 is a wasteful number, since it uses less digits than its factorization.

6611166506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 6611166506106 in words is "six trillion, six hundred eleven billion, one hundred sixty-six million, five hundred six thousand, one hundred six".