5352547200 has 768 divisors, whose sum is σ = 23713482240. Its totient is φ = 1024819200.

The previous prime is 5352547199. The next prime is 5352547229. The reversal of 5352547200 is 27452535.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9609322 + ... + 9609878.

It is an arithmetic number, because the mean of its divisors is an integer number (30876930).

Almost surely, 2^5352547200 is an apocalyptic number.

5352547200 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 5352547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856741120).

5352547200 is an abundant number, since it is smaller than the sum of its proper divisors (18360935040).

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

5352547200 is a wasteful number, since it uses less digits than its factorization.

5352547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 5352547200 is about 73161.1044203134. The cubic root of 5352547200 is about 1749.2565222776.

Adding to 5352547200 its reverse (27452535), we get a palindrome (5379999735).

The spelling of 5352547200 in words is "five billion, three hundred fifty-two million, five hundred forty-seven thousand, two hundred".