52085600 has 144 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 17472000.

The previous prime is 52085597. The next prime is 52085609. The reversal of 52085600 is 658025.

It is a self number, because there is not a number n which added to its sum of digits gives 52085600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52085609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397535 + ... + 397665.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^52085600 is an apocalyptic number.

52085600 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 52085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

52085600 is an abundant number, since it is smaller than the sum of its proper divisors (96404896).

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

52085600 is a wasteful number, since it uses less digits than its factorization.

52085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 52085600 is about 7217.0354024350. The cubic root of 52085600 is about 373.4558129882.

The spelling of 52085600 in words is "fifty-two million, eighty-five thousand, six hundred".