21054535013344 has 192 divisors, whose sum is σ = 49356624240000. Its totient is φ = 8650069843968.

The previous prime is 21054535013341. The next prime is 21054535013359. The reversal of 21054535013344 is 44331053545012.

It is a junction number, because it is equal to n+sod(n) for n = 21054535013297 and 21054535013306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054535013341) 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 31 ways as a sum of consecutive naturals, for example, 850710282 + ... + 850735030.

It is an arithmetic number, because the mean of its divisors is an integer number (257065751250).

Almost surely, 2^{21054535013344} 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 21054535013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678312120000).

21054535013344 is an abundant number, since it is smaller than the sum of its proper divisors (28302089226656).

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

21054535013344 is a wasteful number, since it uses less digits than its factorization.

21054535013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25725 (or 25717 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 21054535013344 its reverse (44331053545012), we get a palindrome (65385588558356).

The spelling of 21054535013344 in words is "twenty-one trillion, fifty-four billion, five hundred thirty-five million, thirteen thousand, three hundred forty-four".