5652355200 has 384 divisors, whose sum is σ = 19579104000. Its totient is φ = 1431306240.

The previous prime is 5652355187. The next prime is 5652355231. The reversal of 5652355200 is 25532565.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21993472 + ... + 21993728.

It is an arithmetic number, because the mean of its divisors is an integer number (50987250).

Almost surely, 2^5652355200 is an apocalyptic number.

5652355200 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 5652355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9789552000).

5652355200 is an abundant number, since it is smaller than the sum of its proper divisors (13926748800).

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

5652355200 is a wasteful number, since it uses less digits than its factorization.

5652355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 5652355200 is about 75182.1468169139. The cubic root of 5652355200 is about 1781.3249403989.

Adding to 5652355200 its reverse (25532565), we get a palindrome (5677887765).

The spelling of 5652355200 in words is "five billion, six hundred fifty-two million, three hundred fifty-five thousand, two hundred".