5216332800 has 528 divisors, whose sum is σ = 20403709952. Its totient is φ = 1150156800.

The previous prime is 5216332763. The next prime is 5216332837. The reversal of 5216332800 is 82336125.

It is an interprime number because it is at equal distance from previous prime (5216332763) and next prime (5216332837).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665444 + ... + 16665756.

Almost surely, 2^5216332800 is an apocalyptic number.

5216332800 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 5216332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201854976).

5216332800 is an abundant number, since it is smaller than the sum of its proper divisors (15187377152).

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

5216332800 is a wasteful number, since it uses less digits than its factorization.

5216332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5216332800 is about 72224.1843152278. The cubic root of 5216332800 is about 1734.2901751875.

Adding to 5216332800 its reverse (82336125), we get a palindrome (5298668925).

The spelling of 5216332800 in words is "five billion, two hundred sixteen million, three hundred thirty-two thousand, eight hundred".