6006005516016 has 60 divisors (see below), whose sum is σ = 18336516845400. Its totient is φ = 1820001671040.

The previous prime is 6006005516009. The next prime is 6006005516083. The reversal of 6006005516016 is 6106155006006.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1895833491 + ... + 1895836658.

It is an arithmetic number, because the mean of its divisors is an integer number (305608614090).

Almost surely, 2^{6006005516016} is an apocalyptic number.

6006005516016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6006005516016 is an abundant number, since it is smaller than the sum of its proper divisors (12330511329384).

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

6006005516016 is a wasteful number, since it uses less digits than its factorization.

6006005516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791670174 (or 3791670165 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 6006005516016 in words is "six trillion, six billion, five million, five hundred sixteen thousand, sixteen".