5349543091200 has 3168 divisors, whose sum is σ = 25376058328320. Its totient is φ = 1091852697600.

The previous prime is 5349543091183. The next prime is 5349543091213. The reversal of 5349543091200 is 21903459435.

5349543091200 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 5 + 430 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×5349543091200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 30922214314 + ... + 30922214486.

Almost surely, 2^{5349543091200} is an apocalyptic number.

5349543091200 is a gapful number since it is divisible by the number (50) 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 5349543091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688029164160).

5349543091200 is an abundant number, since it is smaller than the sum of its proper divisors (20026515237120).

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

5349543091200 is a wasteful number, since it uses less digits than its factorization.

5349543091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5349543091200 in words is "five trillion, three hundred forty-nine billion, five hundred forty-three million, ninety-one thousand, two hundred".