5165344000 has 288 divisors, whose sum is σ = 13713702912. Its totient is φ = 1935360000.

The previous prime is 5165343991. The next prime is 5165344003. The reversal of 5165344000 is 4435615.

It is a self number, because there is not a number n which added to its sum of digits gives 5165344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165344003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40671937 + ... + 40672063.

It is an arithmetic number, because the mean of its divisors is an integer number (47617024).

Almost surely, 2^5165344000 is an apocalyptic number.

5165344000 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 5165344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856851456).

5165344000 is an abundant number, since it is smaller than the sum of its proper divisors (8548358912).

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

5165344000 is a wasteful number, since it uses less digits than its factorization.

5165344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5165344000 is about 71870.3276742217. The cubic root of 5165344000 is about 1728.6208617202.

Adding to 5165344000 its reverse (4435615), we get a palindrome (5169779615).

The spelling of 5165344000 in words is "five billion, one hundred sixty-five million, three hundred forty-four thousand".