5331705600 has 432 divisors, whose sum is σ = 19448692704. Its totient is φ = 1277952000.

The previous prime is 5331705581. The next prime is 5331705629. The reversal of 5331705600 is 65071335.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 10233340 + ... + 10233860.

It is an arithmetic number, because the mean of its divisors is an integer number (45020122).

Almost surely, 2^5331705600 is an apocalyptic number.

5331705600 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 5331705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9724346352).

5331705600 is an abundant number, since it is smaller than the sum of its proper divisors (14116987104).

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

5331705600 is a wasteful number, since it uses less digits than its factorization.

5331705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 5331705600 is about 73018.5291552767. The cubic root of 5331705600 is about 1746.9831668818.

Adding to 5331705600 its reverse (65071335), we get a palindrome (5396776935).

The spelling of 5331705600 in words is "five billion, three hundred thirty-one million, seven hundred five thousand, six hundred".