5165143200 has 720 divisors, whose sum is σ = 22005466560. Its totient is φ = 1154580480.

The previous prime is 5165143177. The next prime is 5165143229. The reversal of 5165143200 is 23415615.

5165143200 is a `hidden beast` number, since 5 + 1 + 651 + 4 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26762304 + ... + 26762496.

It is an arithmetic number, because the mean of its divisors is an integer number (30563148).

Almost surely, 2^5165143200 is an apocalyptic number.

5165143200 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 5165143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002733280).

5165143200 is an abundant number, since it is smaller than the sum of its proper divisors (16840323360).

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

5165143200 is a wasteful number, since it uses less digits than its factorization.

5165143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5165143200 is about 71868.9307002685. The cubic root of 5165143200 is about 1728.5984616911.

Adding to 5165143200 its reverse (23415615), we get a palindrome (5188558815).

The spelling of 5165143200 in words is "five billion, one hundred sixty-five million, one hundred forty-three thousand, two hundred".