5118271200 has 288 divisors, whose sum is σ = 21156145920. Its totient is φ = 1169856000.

The previous prime is 5118271153. The next prime is 5118271211. The reversal of 5118271200 is 21728115.

5118271200 is a `hidden beast` number, since 511 + 8 + 27 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134275 + ... + 168125.

It is an arithmetic number, because the mean of its divisors is an integer number (73458840).

Almost surely, 2^5118271200 is an apocalyptic number.

5118271200 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 5118271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578072960).

5118271200 is an abundant number, since it is smaller than the sum of its proper divisors (16037874720).

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

5118271200 is a wasteful number, since it uses less digits than its factorization.

5118271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33887 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 5118271200 is about 71542.0939028206. The cubic root of 5118271200 is about 1723.3537412973.

Adding to 5118271200 its reverse (21728115), we get a palindrome (5139999315).

The spelling of 5118271200 in words is "five billion, one hundred eighteen million, two hundred seventy-one thousand, two hundred".