5224169800800 has 576 divisors, whose sum is σ = 19428821475840. Its totient is φ = 1353777960960.

The previous prime is 5224169800781. The next prime is 5224169800813. The reversal of 5224169800800 is 80089614225.

5224169800800 is a `hidden beast` number, since 522 + 41 + 6 + 9 + 8 + 0 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×5224169800800³ (a number of 39 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724870797 + ... + 724878003.

It is an arithmetic number, because the mean of its divisors is an integer number (33730592840).

Almost surely, 2^{5224169800800} is an apocalyptic number.

5224169800800 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 5224169800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9714410737920).

5224169800800 is an abundant number, since it is smaller than the sum of its proper divisors (14204651675040).

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

5224169800800 is a wasteful number, since it uses less digits than its factorization.

5224169800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5224169800800 in words is "five trillion, two hundred twenty-four billion, one hundred sixty-nine million, eight hundred thousand, eight hundred".