32800000000000 has 360 divisors, whose sum is σ = 83997436179384. Its totient is φ = 12800000000000.

The previous prime is 32799999999979. The next prime is 32800000000003. The reversal of 32800000000000 is 823.

It can be written as a sum of positive squares in 12 ways, for example, as 25030089048064 + 7769910951936 = 5003008^2 + 2787456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32800000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800000000003) 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 23 ways as a sum of consecutive naturals, for example, 799999999980 + ... + 800000000020.

Almost surely, 2^{32800000000000} 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 32800000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41998718089692).

32800000000000 is an abundant number, since it is smaller than the sum of its proper divisors (51197436179384).

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

32800000000000 is an frugal number, since it uses more digits than its factorization.

32800000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 32800000000000 its reverse (823), we get a palindrome (32800000000823).

The spelling of 32800000000000 in words is "thirty-two trillion, eight hundred billion", and thus it is an aban number.