6005128752 has 560 divisors, whose sum is σ = 21685120000. Its totient is φ = 1604873088.

The previous prime is 6005128741. The next prime is 6005128777. The reversal of 6005128752 is 2578215006.

It is a happy number.

6005128752 is a `hidden beast` number, since 60 + 0 + 512 + 87 + 5 + 2 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76014249 + ... + 76014327.

Almost surely, 2^6005128752 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 6005128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842560000).

6005128752 is an abundant number, since it is smaller than the sum of its proper divisors (15679991248).

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

6005128752 is an equidigital number, since it uses as much as digits as its factorization.

6005128752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 6005128752 is about 77492.7658042994. The cubic root of 6005128752 is about 1817.6381987603.

The spelling of 6005128752 in words is "six billion, five million, one hundred twenty-eight thousand, seven hundred fifty-two".