6528160800 has 216 divisors, whose sum is σ = 26308691136. Its totient is φ = 1492139520.

The previous prime is 6528160783. The next prime is 6528160829. The reversal of 6528160800 is 80618256.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 14364 + ... + 115163.

It is an arithmetic number, because the mean of its divisors is an integer number (121799496).

Almost surely, 2^6528160800 is an apocalyptic number.

6528160800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6528160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154345568).

6528160800 is an abundant number, since it is smaller than the sum of its proper divisors (19780530336).

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

6528160800 is a wasteful number, since it uses less digits than its factorization.

6528160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129560 (or 129544 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6528160800 is about 80797.0345990495. The cubic root of 6528160800 is about 1868.9468366095.

The spelling of 6528160800 in words is "six billion, five hundred twenty-eight million, one hundred sixty thousand, eight hundred".