6001285248 has 256 divisors, whose sum is σ = 20328192000. Its totient is φ = 1707402240.

The previous prime is 6001285231. The next prime is 6001285271. The reversal of 6001285248 is 8425821006.

6001285248 is a `hidden beast` number, since 6 + 0 + 0 + 128 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 8684583 + ... + 8685273.

It is an arithmetic number, because the mean of its divisors is an integer number (79407000).

Almost surely, 2^6001285248 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 6001285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164096000).

6001285248 is an abundant number, since it is smaller than the sum of its proper divisors (14326906752).

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

6001285248 is a wasteful number, since it uses less digits than its factorization.

6001285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6001285248 is about 77467.9627200819. The cubic root of 6001285248 is about 1817.2503308249.

The spelling of 6001285248 in words is "six billion, one million, two hundred eighty-five thousand, two hundred forty-eight".