32000233002000 has 320 divisors, whose sum is σ = 103347090362880. Its totient is φ = 8518661376000.

The previous prime is 32000233001999. The next prime is 32000233002161. The reversal of 32000233002000 is 20033200023.

32000233002000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 16219073014 + ... + 16219074986.

It is an arithmetic number, because the mean of its divisors is an integer number (322959657384).

Almost surely, 2^{32000233002000} is an apocalyptic number.

32000233002000 is a gapful number since it is divisible by the number (30) 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 32000233002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51673545181440).

32000233002000 is an abundant number, since it is smaller than the sum of its proper divisors (71346857360880).

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

32000233002000 is a wasteful number, since it uses less digits than its factorization.

32000233002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 32000233002000 its reverse (20033200023), we get a palindrome (32020266202023).

The spelling of 32000233002000 in words is "thirty-two trillion, two hundred thirty-three million, two thousand".