5322504202400 has 288 divisors, whose sum is σ = 16276583232000. Its totient is φ = 1651095936000.

The previous prime is 5322504202399. The next prime is 5322504202441. The reversal of 5322504202400 is 42024052235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12792851 + ... + 13202349.

It is an arithmetic number, because the mean of its divisors is an integer number (56515914000).

Almost surely, 2^{5322504202400} is an apocalyptic number.

5322504202400 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 5322504202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138291616000).

5322504202400 is an abundant number, since it is smaller than the sum of its proper divisors (10954079029600).

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

5322504202400 is a wasteful number, since it uses less digits than its factorization.

5322504202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409748 (or 409735 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 5322504202400 its reverse (42024052235), we get a palindrome (5364528254635).

The spelling of 5322504202400 in words is "five trillion, three hundred twenty-two billion, five hundred four million, two hundred two thousand, four hundred".