5200824400420 has 96 divisors (see below), whose sum is σ = 12267175890816. Its totient is φ = 1835715302400.

The previous prime is 5200824400417. The next prime is 5200824400427. The reversal of 5200824400420 is 240044280025.

It is a super-3 number, since 3×5200824400420³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5200824400427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313519 + ... + 3240361.

It is an arithmetic number, because the mean of its divisors is an integer number (127783082196).

Almost surely, 2^{5200824400420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200824400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133587945408).

5200824400420 is an abundant number, since it is smaller than the sum of its proper divisors (7066351490396).

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

5200824400420 is a wasteful number, since it uses less digits than its factorization.

5200824400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927101 (or 2927099 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 5200824400420 its reverse (240044280025), we get a palindrome (5440868680445).

The spelling of 5200824400420 in words is "five trillion, two hundred billion, eight hundred twenty-four million, four hundred thousand, four hundred twenty".