5182465600 has 336 divisors, whose sum is σ = 14445325440. Its totient is φ = 1817395200.

The previous prime is 5182465597. The next prime is 5182465637. The reversal of 5182465600 is 65642815.

It is a self number, because there is not a number n which added to its sum of digits gives 5182465600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50315149 + ... + 50315251.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 2^5182465600 is an apocalyptic number.

5182465600 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 5182465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222662720).

5182465600 is an abundant number, since it is smaller than the sum of its proper divisors (9262859840).

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

5182465600 is a wasteful number, since it uses less digits than its factorization.

5182465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 5182465600 is about 71989.3436558495. The cubic root of 5182465600 is about 1730.5287122921.

The spelling of 5182465600 in words is "five billion, one hundred eighty-two million, four hundred sixty-five thousand, six hundred".