5016211200 has 1728 divisors, whose sum is σ = 25548364800. Its totient is φ = 928972800.

The previous prime is 5016211183. The next prime is 5016211217. The reversal of 5016211200 is 21126105.

It is an interprime number because it is at equal distance from previous prime (5016211183) and next prime (5016211217).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172972786 + ... + 172972814.

Almost surely, 2^5016211200 is an apocalyptic number.

5016211200 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 5016211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774182400).

5016211200 is an abundant number, since it is smaller than the sum of its proper divisors (20532153600).

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

5016211200 is a wasteful number, since it uses less digits than its factorization.

5016211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5016211200 is about 70825.2158485945. The cubic root of 5016211200 is about 1711.8220037962.

Adding to 5016211200 its reverse (21126105), we get a palindrome (5037337305).

The spelling of 5016211200 in words is "five billion, sixteen million, two hundred eleven thousand, two hundred".