6006004556057 has 16 divisors (see below), whose sum is σ = 6730029398400. Its totient is φ = 5311691821440.

The previous prime is 6006004556017. The next prime is 6006004556077. The reversal of 6006004556057 is 7506554006006.

It is a cyclic number.

It is not a de Polignac number, because 6006004556057 - 2⁸ = 6006004555801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6006004555999 and 6006004556017.

It is not an unprimeable number, because it can be changed into a prime (6006004556017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883069 + ... + 3944357.

It is an arithmetic number, because the mean of its divisors is an integer number (420626837400).

Almost surely, 2^{6006004556057} is an apocalyptic number.

It is an amenable number.

6006004556057 is a deficient number, since it is larger than the sum of its proper divisors (724024842343).

6006004556057 is a wasteful number, since it uses less digits than its factorization.

6006004556057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068496.

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 6006004556057 in words is "six trillion, six billion, four million, five hundred fifty-six thousand, fifty-seven".