5361127200 has 864 divisors, whose sum is σ = 22930532352. Its totient is φ = 1161216000.

The previous prime is 5361127171. The next prime is 5361127273. The reversal of 5361127200 is 27211635.

It is a happy number.

5361127200 is a `hidden beast` number, since 5 + 3 + 611 + 27 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42213537 + ... + 42213663.

It is an arithmetic number, because the mean of its divisors is an integer number (26539968).

Almost surely, 2^5361127200 is an apocalyptic number.

5361127200 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 5361127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465266176).

5361127200 is an abundant number, since it is smaller than the sum of its proper divisors (17569405152).

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

5361127200 is a wasteful number, since it uses less digits than its factorization.

5361127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5361127200 is about 73219.7186555644. The cubic root of 5361127200 is about 1750.1906948658.

Adding to 5361127200 its reverse (27211635), we get a palindrome (5388338835).

The spelling of 5361127200 in words is "five billion, three hundred sixty-one million, one hundred twenty-seven thousand, two hundred".