5107222400 has 384 divisors, whose sum is σ = 15171528960. Its totient is φ = 1662566400.

The previous prime is 5107222397. The next prime is 5107222447. The reversal of 5107222400 is 42227015.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61532759 + ... + 61532841.

It is an arithmetic number, because the mean of its divisors is an integer number (39509190).

Almost surely, 2^5107222400 is an apocalyptic number.

5107222400 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 5107222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585764480).

5107222400 is an abundant number, since it is smaller than the sum of its proper divisors (10064306560).

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

5107222400 is a wasteful number, since it uses less digits than its factorization.

5107222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 5107222400 is about 71464.8333098175. The cubic root of 5107222400 is about 1722.1127813602.

Adding to 5107222400 its reverse (42227015), we get a palindrome (5149449415).

The spelling of 5107222400 in words is "five billion, one hundred seven million, two hundred twenty-two thousand, four hundred".