5331352400 has 120 divisors (see below), whose sum is σ = 14008520064. Its totient is φ = 1933747200.

The previous prime is 5331352393. The next prime is 5331352417. The reversal of 5331352400 is 42531335.

It is a self number, because there is not a number n which added to its sum of digits gives 5331352400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2035892 + ... + 2038508.

Almost surely, 2^5331352400 is an apocalyptic number.

5331352400 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 5331352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004260032).

5331352400 is an abundant number, since it is smaller than the sum of its proper divisors (8677167664).

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

5331352400 is a wasteful number, since it uses less digits than its factorization.

5331352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 5331352400 is about 73016.1105510284. The cubic root of 5331352400 is about 1746.9445896030.

Adding to 5331352400 its reverse (42531335), we get a palindrome (5373883735).

It can be divided in two parts, 533135 and 2400, that added together give a palindrome (535535).

The spelling of 5331352400 in words is "five billion, three hundred thirty-one million, three hundred fifty-two thousand, four hundred".