8532083161728 has 1024 divisors, whose sum is σ = 31598235648000. Its totient is φ = 2211539189760.

The previous prime is 8532083161727. The next prime is 8532083161757. The reversal of 8532083161728 is 8271613802358.

8532083161728 is a `hidden beast` number, since 8 + 53 + 208 + 316 + 1 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8532083161727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1382158450 + ... + 1382164622.

It is an arithmetic number, because the mean of its divisors is an integer number (30857652000).

Almost surely, 2^{8532083161728} 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 8532083161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799117824000).

8532083161728 is an abundant number, since it is smaller than the sum of its proper divisors (23066152486272).

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

8532083161728 is a wasteful number, since it uses less digits than its factorization.

8532083161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8532083161728 in words is "eight trillion, five hundred thirty-two billion, eighty-three million, one hundred sixty-one thousand, seven hundred twenty-eight".