6005003028580 has 96 divisors (see below), whose sum is σ = 12811838376960. Its totient is φ = 2363805803520.

The previous prime is 6005003028553. The next prime is 6005003028581. The reversal of 6005003028580 is 858203005006.

It is a super-3 number, since 3×6005003028580³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6005003028581) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2190806010 + ... + 2190808750.

It is an arithmetic number, because the mean of its divisors is an integer number (133456649760).

Almost surely, 2^{6005003028580} is an apocalyptic number.

It is an amenable number.

6005003028580 is an abundant number, since it is smaller than the sum of its proper divisors (6806835348380).

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

6005003028580 is a wasteful number, since it uses less digits than its factorization.

6005003028580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 6005003028580 in words is "six trillion, five billion, three million, twenty-eight thousand, five hundred eighty".