5051127200 has 288 divisors, whose sum is σ = 15355267200. Its totient is φ = 1583124480.

The previous prime is 5051127167. The next prime is 5051127209. The reversal of 5051127200 is 27211505.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5051127209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3084782 + ... + 3086418.

It is an arithmetic number, because the mean of its divisors is an integer number (53316900).

Almost surely, 2^5051127200 is an apocalyptic number.

5051127200 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 5051127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677633600).

5051127200 is an abundant number, since it is smaller than the sum of its proper divisors (10304140000).

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

5051127200 is a wasteful number, since it uses less digits than its factorization.

5051127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 5051127200 is about 71071.2825267703. The cubic root of 5051127200 is about 1715.7846115339.

Adding to 5051127200 its reverse (27211505), we get a palindrome (5078338705).

The spelling of 5051127200 in words is "five billion, fifty-one million, one hundred twenty-seven thousand, two hundred".