5343217171600 has 1215 divisors, whose sum is σ = 17545294015641. Its totient is φ = 1557793036800.

The previous prime is 5343217171577. The next prime is 5343217171601. The reversal of 5343217171600 is 61717123435.

The square root of 5343217171600 is 2311540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1923558181776 + 3419658989824 = 1386924^2 + 1849232^2 .

It is a super-2 number, since 2×5343217171600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5343217171601) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 67635660361 + ... + 67635660439.

Almost surely, 2^{5343217171600} is an apocalyptic number.

5343217171600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5343217171600 is the 2311540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343217171600

5343217171600 is an abundant number, since it is smaller than the sum of its proper divisors (12202076844041).

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

5343217171600 is a wasteful number, since it uses less digits than its factorization.

5343217171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 5343217171600 in words is "five trillion, three hundred forty-three billion, two hundred seventeen million, one hundred seventy-one thousand, six hundred".