66005100006 has 16 divisors (see below), whose sum is σ = 132512143104. Its totient is φ = 21918042824.

The previous prime is 66005099981. The next prime is 66005100023. The reversal of 66005100006 is 60000150066.

It is a super-2 number, since 2×66005100006² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20912586 + ... + 20915741.

It is an arithmetic number, because the mean of its divisors is an integer number (8282008944).

Almost surely, 2^66005100006 is an apocalyptic number.

66005100006 is an abundant number, since it is smaller than the sum of its proper divisors (66507043098).

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

66005100006 is a wasteful number, since it uses less digits than its factorization.

66005100006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41828595.

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 66005100006 in words is "sixty-six billion, five million, one hundred thousand, six".