5631007200 has 1152 divisors, whose sum is σ = 25198387200. Its totient is φ = 1058365440.

The previous prime is 5631007163. The next prime is 5631007243. The reversal of 5631007200 is 27001365.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95440771 + ... + 95440829.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^5631007200 is an apocalyptic number.

5631007200 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 5631007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599193600).

5631007200 is an abundant number, since it is smaller than the sum of its proper divisors (19567380000).

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

5631007200 is a wasteful number, since it uses less digits than its factorization.

5631007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5631007200 is about 75040.0373134236. The cubic root of 5631007200 is about 1779.0795223993.

Adding to 5631007200 its reverse (27001365), we get a palindrome (5658008565).

The spelling of 5631007200 in words is "five billion, six hundred thirty-one million, seven thousand, two hundred".