6005288960 has 416 divisors, whose sum is σ = 17551019520. Its totient is φ = 1946419200.

The previous prime is 6005288917. The next prime is 6005288963. The reversal of 6005288960 is 698825006.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005288963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98447330 + ... + 98447390.

Almost surely, 2^6005288960 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 6005288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775509760).

6005288960 is an abundant number, since it is smaller than the sum of its proper divisors (11545730560).

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

6005288960 is a wasteful number, since it uses less digits than its factorization.

6005288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 6005288960 is about 77493.7994938950. The cubic root of 6005288960 is about 1817.6543625875.

The spelling of 6005288960 in words is "six billion, five million, two hundred eighty-eight thousand, nine hundred sixty".