20533205440000 has 400 divisors, whose sum is σ = 56051306790336. Its totient is φ = 7450035200000.

The previous prime is 20533205439947. The next prime is 20533205440003. The reversal of 20533205440000 is 4450233502.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×20533205440000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533205440003) 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 39 ways as a sum of consecutive naturals, for example, 1643833755 + ... + 1643846245.

Almost surely, 2^{20533205440000} is an apocalyptic number.

20533205440000 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 20533205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28025653395168).

20533205440000 is an abundant number, since it is smaller than the sum of its proper divisors (35518101350336).

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

20533205440000 is an equidigital number, since it uses as much as digits as its factorization.

20533205440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 20533205440000 its reverse (4450233502), we get a palindrome (20537655673502).

The spelling of 20533205440000 in words is "twenty trillion, five hundred thirty-three billion, two hundred five million, four hundred forty thousand".