5153200322400 has 1728 divisors, whose sum is σ = 21409629696000. Its totient is φ = 1192353177600.

The previous prime is 5153200322399. The next prime is 5153200322437. The reversal of 5153200322400 is 42230023515.

It is a happy number.

5153200322400 is a `hidden beast` number, since 5 + 1 + 53 + 200 + 3 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 13247301406 + ... + 13247301794.

It is an arithmetic number, because the mean of its divisors is an integer number (12389832000).

Almost surely, 2^{5153200322400} is an apocalyptic number.

5153200322400 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 5153200322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704814848000).

5153200322400 is an abundant number, since it is smaller than the sum of its proper divisors (16256429373600).

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

5153200322400 is a wasteful number, since it uses less digits than its factorization.

5153200322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 5153200322400 its reverse (42230023515), we get a palindrome (5195430345915).

It can be divided in two parts, 5153200 and 322400, that added together give a square (5475600 = 2340²).

The spelling of 5153200322400 in words is "five trillion, one hundred fifty-three billion, two hundred million, three hundred twenty-two thousand, four hundred".