32852535768 has 256 divisors, whose sum is σ = 104896512000. Its totient is φ = 9437202432.

The previous prime is 32852535767. The next prime is 32852535773. The reversal of 32852535768 is 86753525823.

32852535768 is a `hidden beast` number, since 3 + 2 + 8 + 525 + 3 + 57 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32852535767) 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 63 ways as a sum of consecutive naturals, for example, 6059763 + ... + 6065181.

It is an arithmetic number, because the mean of its divisors is an integer number (409752000).

Almost surely, 2^32852535768 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 32852535768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52448256000).

32852535768 is an abundant number, since it is smaller than the sum of its proper divisors (72043976232).

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

32852535768 is a wasteful number, since it uses less digits than its factorization.

32852535768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5581 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 32852535768 in words is "thirty-two billion, eight hundred fifty-two million, five hundred thirty-five thousand, seven hundred sixty-eight".