60066066066006 has 512 divisors, whose sum is σ = 166346786156544. Its totient is φ = 13959475200000.

The previous prime is 60066066065987. The next prime is 60066066066029.

60066066066006 is nontrivially palindromic in base 10.

60066066066006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 6066661656 + ... + 6066671556.

It is an arithmetic number, because the mean of its divisors is an integer number (324896066712).

Almost surely, 2^{60066066066006} is an apocalyptic number.

60066066066006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60066066066006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83173393078272).

60066066066006 is an abundant number, since it is smaller than the sum of its proper divisors (106280720090538).

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

60066066066006 is a wasteful number, since it uses less digits than its factorization.

60066066066006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248.

The product of its (nonzero) digits is 1679616, while the sum is 48.

It can be divided in two parts, 600660 and 66066006, that added together give a palindrome (66666666).

The spelling of 60066066066006 in words is "sixty trillion, sixty-six billion, sixty-six million, sixty-six thousand, six", and thus it is an eban number.