8525332128000 has 288 divisors, whose sum is σ = 28340851698432. Its totient is φ = 2271498240000.

The previous prime is 8525332127987. The next prime is 8525332128007. The reversal of 8525332128000 is 8212335258.

It is a self number, because there is not a number n which added to its sum of digits gives 8525332128000.

It is not an unprimeable number, because it can be changed into a prime (8525332128007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115259029 + ... + 115332971.

It is an arithmetic number, because the mean of its divisors is an integer number (98405735064).

Almost surely, 2^{8525332128000} is an apocalyptic number.

8525332128000 is a gapful number since it is divisible by the number (80) 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 8525332128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170425849216).

8525332128000 is an abundant number, since it is smaller than the sum of its proper divisors (19815519570432).

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

8525332128000 is a wasteful number, since it uses less digits than its factorization.

8525332128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75178 (or 75154 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 8525332128000 in words is "eight trillion, five hundred twenty-five billion, three hundred thirty-two million, one hundred twenty-eight thousand".