60021033012006 has 128 divisors (see below), whose sum is σ = 142360082841600. Its totient is φ = 16667342784000.

The previous prime is 60021033011977. The next prime is 60021033012029.

It is a happy number.

60021033012006 is nontrivially palindromic in base 10.

60021033012006 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 63 ways as a sum of consecutive naturals, for example, 83649475 + ... + 84363953.

It is an arithmetic number, because the mean of its divisors is an integer number (1112188147200).

Almost surely, 2^{60021033012006} is an apocalyptic number.

60021033012006 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 60021033012006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71180041420800).

60021033012006 is an abundant number, since it is smaller than the sum of its proper divisors (82339049829594).

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

60021033012006 is a wasteful number, since it uses less digits than its factorization.

60021033012006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716706.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 6002103 and 3012006, that added together give a palindrome (9014109).

The spelling of 60021033012006 in words is "sixty trillion, twenty-one billion, thirty-three million, twelve thousand, six".