5014216200 has 192 divisors, whose sum is σ = 18537384960. Its totient is φ = 1096254720.

The previous prime is 5014216183. The next prime is 5014216201. The reversal of 5014216200 is 26124105.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5014216201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70647 + ... + 122553.

It is an arithmetic number, because the mean of its divisors is an integer number (96548880).

Almost surely, 2^5014216200 is an apocalyptic number.

5014216200 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 5014216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268692480).

5014216200 is an abundant number, since it is smaller than the sum of its proper divisors (13523168760).

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

5014216200 is a wasteful number, since it uses less digits than its factorization.

5014216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51956 (or 51947 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5014216200 is about 70811.1304810197. The cubic root of 5014216200 is about 1711.5950371608.

The spelling of 5014216200 in words is "five billion, fourteen million, two hundred sixteen thousand, two hundred".