6000505605536 has 48 divisors (see below), whose sum is σ = 12722584204008. Its totient is φ = 2769386112000.

The previous prime is 6000505605529. The next prime is 6000505605559. The reversal of 6000505605536 is 6355065050006.

It can be written as a sum of positive squares in 4 ways, for example, as 4663198389136 + 1337307216400 = 2159444^2 + 1156420^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6000505605493 and 6000505605502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16165706 + ... + 16532726.

Almost surely, 2^{6000505605536} is an apocalyptic number.

It is an amenable number.

6000505605536 is an abundant number, since it is smaller than the sum of its proper divisors (6722078598472).

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

6000505605536 is a wasteful number, since it uses less digits than its factorization.

6000505605536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406345 (or 406337 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 41.

The spelling of 6000505605536 in words is "six trillion, five hundred five million, six hundred five thousand, five hundred thirty-six".