5835153200 has 60 divisors (see below), whose sum is σ = 14057508000. Its totient is φ = 2327642880.

The previous prime is 5835153193. The next prime is 5835153209. The reversal of 5835153200 is 23515385.

It is not an unprimeable number, because it can be changed into a prime (5835153209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126926 + ... + 166674.

It is an arithmetic number, because the mean of its divisors is an integer number (234291800).

Almost surely, 2^5835153200 is an apocalyptic number.

5835153200 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 5835153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028754000).

5835153200 is an abundant number, since it is smaller than the sum of its proper divisors (8222354800).

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

5835153200 is a wasteful number, since it uses less digits than its factorization.

5835153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40134 (or 40123 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5835153200 is about 76388.1744774674. The cubic root of 5835153200 is about 1800.3243448445.

Adding to 5835153200 its reverse (23515385), we get a palindrome (5858668585).

The spelling of 5835153200 in words is "five billion, eight hundred thirty-five million, one hundred fifty-three thousand, two hundred".