5353211221344 has 288 divisors, whose sum is σ = 18075753835776. Its totient is φ = 1526653370880.

The previous prime is 5353211221313. The next prime is 5353211221363. The reversal of 5353211221344 is 4431221123535.

5353211221344 is a `hidden beast` number, since 5 + 3 + 532 + 112 + 2 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5353211221344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5353211221299 and 5353211221308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29356819 + ... + 29538605.

It is an arithmetic number, because the mean of its divisors is an integer number (62763034152).

Almost surely, 2^{5353211221344} is an apocalyptic number.

5353211221344 is a gapful number since it is divisible by the number (54) 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 5353211221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037876917888).

5353211221344 is an abundant number, since it is smaller than the sum of its proper divisors (12722542614432).

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

5353211221344 is a wasteful number, since it uses less digits than its factorization.

5353211221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182360 (or 182340 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 5353211221344 its reverse (4431221123535), we get a palindrome (9784432344879).

The spelling of 5353211221344 in words is "five trillion, three hundred fifty-three billion, two hundred eleven million, two hundred twenty-one thousand, three hundred forty-four".