20553141440000 has 400 divisors, whose sum is σ = 58514656728528. Its totient is φ = 7142424576000.

The previous prime is 20553141439981. The next prime is 20553141440057. The reversal of 20553141440000 is 4414135502.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 70574687 + ... + 70865313.

Almost surely, 2^{20553141440000} is an apocalyptic number.

20553141440000 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 20553141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257328364264).

20553141440000 is an abundant number, since it is smaller than the sum of its proper divisors (37961515288528).

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

20553141440000 is an equidigital number, since it uses as much as digits as its factorization.

20553141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290695 (or 290664 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 20553141440000 its reverse (4414135502), we get a palindrome (20557555575502).

The spelling of 20553141440000 in words is "twenty trillion, five hundred fifty-three billion, one hundred forty-one million, four hundred forty thousand".