5216112000 has 768 divisors, whose sum is σ = 21223425600. Its totient is φ = 1216512000.

The previous prime is 5216111993. The next prime is 5216112001. The reversal of 5216112000 is 2116125.

5216112000 is a `hidden beast` number, since 52 + 1 + 611 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216112001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58607956 + ... + 58608044.

Almost surely, 2^5216112000 is an apocalyptic number.

5216112000 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 5216112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611712800).

5216112000 is an abundant number, since it is smaller than the sum of its proper divisors (16007313600).

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

5216112000 is a wasteful number, since it uses less digits than its factorization.

5216112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

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

The square root of 5216112000 is about 72222.6557251947. The cubic root of 5216112000 is about 1734.2657048244.

Adding to 5216112000 its reverse (2116125), we get a palindrome (5218228125).

The spelling of 5216112000 in words is "five billion, two hundred sixteen million, one hundred twelve thousand".