6528845127168 has 2560 divisors, whose sum is σ = 26609496883200. Its totient is φ = 1532805120000.

The previous prime is 6528845127107. The next prime is 6528845127169. The reversal of 6528845127168 is 8617215488256.

6528845127168 is a `hidden beast` number, since 6 + 5 + 28 + 84 + 512 + 7 + 16 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6528845127169) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26011335043 + ... + 26011335293.

It is an arithmetic number, because the mean of its divisors is an integer number (10394334720).

Almost surely, 2^{6528845127168} 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 6528845127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304748441600).

6528845127168 is an abundant number, since it is smaller than the sum of its proper divisors (20080651756032).

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

6528845127168 is a wasteful number, since it uses less digits than its factorization.

6528845127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 6528845127168 in words is "six trillion, five hundred twenty-eight billion, eight hundred forty-five million, one hundred twenty-seven thousand, one hundred sixty-eight".