6052552728768 has 672 divisors, whose sum is σ = 22322069452800. Its totient is φ = 1574372007936.

The previous prime is 6052552728757. The next prime is 6052552728793. The reversal of 6052552728768 is 8678272552506.

6052552728768 is a `hidden beast` number, since 6 + 0 + 5 + 2 + 552 + 7 + 2 + 8 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 149208073 + ... + 149248631.

Almost surely, 2^{6052552728768} 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 6052552728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161034726400).

6052552728768 is an abundant number, since it is smaller than the sum of its proper divisors (16269516724032).

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

6052552728768 is a wasteful number, since it uses less digits than its factorization.

6052552728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40686 (or 40657 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 6052552728768 in words is "six trillion, fifty-two billion, five hundred fifty-two million, seven hundred twenty-eight thousand, seven hundred sixty-eight".