5310332400 has 120 divisors (see below), whose sum is σ = 17034516864. Its totient is φ = 1414112000.

The previous prime is 5310332387. The next prime is 5310332411. The reversal of 5310332400 is 42330135.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989725 + ... + 995075.

Almost surely, 2^5310332400 is an apocalyptic number.

5310332400 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 5310332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517258432).

5310332400 is an abundant number, since it is smaller than the sum of its proper divisors (11724184464).

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

5310332400 is a wasteful number, since it uses less digits than its factorization.

5310332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 5310332400 is about 72872.0275551600. The cubic root of 5310332400 is about 1744.6456644057.

Adding to 5310332400 its reverse (42330135), we get a palindrome (5352662535).

The spelling of 5310332400 in words is "five billion, three hundred ten million, three hundred thirty-two thousand, four hundred".