6000008000060 has 96 divisors (see below), whose sum is σ = 13631191237440. Its totient is φ = 2210685032448.

The previous prime is 6000008000059. The next prime is 6000008000083. The reversal of 6000008000060 is 600008000006.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6000007999996 and 6000008000041.

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 31 ways as a sum of consecutive naturals, for example, 19999082 + ... + 20296878.

It is an arithmetic number, because the mean of its divisors is an integer number (141991575390).

Almost surely, 2^{6000008000060} 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 6000008000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815595618720).

6000008000060 is an abundant number, since it is smaller than the sum of its proper divisors (7631183237380).

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

6000008000060 is a wasteful number, since it uses less digits than its factorization.

6000008000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299295 (or 299293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 6000008000060 in words is "six trillion, eight million, sixty", and thus it is an aban number and an uban number.