5722166821200 has 240 divisors, whose sum is σ = 19319765330880. Its totient is φ = 1443725475840.

The previous prime is 5722166821187. The next prime is 5722166821303. The reversal of 5722166821200 is 21286612275.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5722166821200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17462064 + ... + 17786736.

It is an arithmetic number, because the mean of its divisors is an integer number (80499022212).

Almost surely, 2^{5722166821200} is an apocalyptic number.

5722166821200 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 5722166821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659882665440).

5722166821200 is an abundant number, since it is smaller than the sum of its proper divisors (13597598509680).

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

5722166821200 is a wasteful number, since it uses less digits than its factorization.

5722166821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325486 (or 325475 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 5722166821200 in words is "five trillion, seven hundred twenty-two billion, one hundred sixty-six million, eight hundred twenty-one thousand, two hundred".