20333233200000 has 768 divisors, whose sum is σ = 77267704550400. Its totient is φ = 4640655360000.

The previous prime is 20333233199957. The next prime is 20333233200031. The reversal of 20333233200000 is 233233302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20333233200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7450798636 + ... + 7450801364.

It is an arithmetic number, because the mean of its divisors is an integer number (100608990300).

Almost surely, 2^{20333233200000} is an apocalyptic number.

20333233200000 is a gapful number since it is divisible by the number (20) 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 20333233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38633852275200).

20333233200000 is an abundant number, since it is smaller than the sum of its proper divisors (56934471350400).

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

20333233200000 is an frugal number, since it uses more digits than its factorization.

20333233200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 20333233200000 its reverse (233233302), we get a palindrome (20333466433302).

The spelling of 20333233200000 in words is "twenty trillion, three hundred thirty-three billion, two hundred thirty-three million, two hundred thousand".