5228806090200 has 768 divisors, whose sum is σ = 21155125985280. Its totient is φ = 1036627200000.

The previous prime is 5228806090147. The next prime is 5228806090201. The reversal of 5228806090200 is 20906088225.

It is a super-2 number, since 2×5228806090200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5228806090201) 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 191 ways as a sum of consecutive naturals, for example, 101660490 + ... + 101711910.

It is an arithmetic number, because the mean of its divisors is an integer number (27545736960).

Almost surely, 2^{5228806090200} is an apocalyptic number.

5228806090200 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 5228806090200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577562992640).

5228806090200 is an abundant number, since it is smaller than the sum of its proper divisors (15926319895080).

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

5228806090200 is a wasteful number, since it uses less digits than its factorization.

5228806090200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51560 (or 51551 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 5228806090200 in words is "five trillion, two hundred twenty-eight billion, eight hundred six million, ninety thousand, two hundred".