6006528000000 has 1680 divisors, whose sum is σ = 24574935436800. Its totient is φ = 1437696000000.

The previous prime is 6006527999999. The next prime is 6006528000037. The reversal of 6006528000000 is 8256006.

6006528000000 is a `hidden beast` number, since 6 + 0 + 0 + 652 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6006528000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76031999961 + ... + 76032000039.

It is an arithmetic number, because the mean of its divisors is an integer number (14627937760).

Almost surely, 2^{6006528000000} is an apocalyptic number.

6006528000000 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 6006528000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287467718400).

6006528000000 is an abundant number, since it is smaller than the sum of its proper divisors (18568407436800).

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

6006528000000 is an frugal number, since it uses more digits than its factorization.

6006528000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 6006528000000 in words is "six trillion, six billion, five hundred twenty-eight million", and thus it is an aban number.