6005665001600 has 384 divisors, whose sum is σ = 16471654318080. Its totient is φ = 2145482035200.

The previous prime is 6005665001591. The next prime is 6005665001621. The reversal of 6005665001600 is 61005665006.

It is a super-2 number, since 2×6005665001600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 460444679 + ... + 460457721.

It is an arithmetic number, because the mean of its divisors is an integer number (42894933120).

Almost surely, 2^{6005665001600} 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 6005665001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235827159040).

6005665001600 is an abundant number, since it is smaller than the sum of its proper divisors (10465989316480).

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

6005665001600 is a wasteful number, since it uses less digits than its factorization.

6005665001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 6005665001600 in words is "six trillion, five billion, six hundred sixty-five million, one thousand, six hundred".