5235609600 has 936 divisors, whose sum is σ = 22182538560. Its totient is φ = 1167851520.

The previous prime is 5235609563. The next prime is 5235609601. The reversal of 5235609600 is 69065325.

5235609600 is a `hidden beast` number, since 5 + 2 + 3 + 560 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×5235609600² = 54823215767224320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5235609601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227635189 + ... + 227635211.

Almost surely, 2^5235609600 is an apocalyptic number.

5235609600 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 5235609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091269280).

5235609600 is an abundant number, since it is smaller than the sum of its proper divisors (16946928960).

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

5235609600 is a wasteful number, since it uses less digits than its factorization.

5235609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

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

The square root of 5235609600 is about 72357.5123950513. The cubic root of 5235609600 is about 1736.4238879375.

The spelling of 5235609600 in words is "five billion, two hundred thirty-five million, six hundred nine thousand, six hundred".