5352609600 has 588 divisors, whose sum is σ = 21326366796. Its totient is φ = 1313832960.

The previous prime is 5352609593. The next prime is 5352609601. The reversal of 5352609600 is 69062535.

5352609600 is a `hidden beast` number, since 535 + 2 + 60 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 752514624 + 4600094976 = 27432^2 + 67824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352609601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15163024 + ... + 15163376.

Almost surely, 2^5352609600 is an apocalyptic number.

5352609600 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 5352609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663183398).

5352609600 is an abundant number, since it is smaller than the sum of its proper divisors (15973757196).

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

5352609600 is a wasteful number, since it uses less digits than its factorization.

5352609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5352609600 is about 73161.5308751806. The cubic root of 5352609600 is about 1749.2633198626.

The spelling of 5352609600 in words is "five billion, three hundred fifty-two million, six hundred nine thousand, six hundred".