5216544000 has 432 divisors, whose sum is σ = 19150971840. Its totient is φ = 1363046400.

The previous prime is 5216543989. The next prime is 5216544007. The reversal of 5216544000 is 4456125.

5216544000 is a `hidden beast` number, since 5 + 2 + 1 + 654 + 4 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216544007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16991847 + ... + 16992153.

Almost surely, 2^5216544000 is an apocalyptic number.

5216544000 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 5216544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575485920).

5216544000 is an abundant number, since it is smaller than the sum of its proper divisors (13934427840).

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

5216544000 is a wasteful number, since it uses less digits than its factorization.

5216544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5216544000 is about 72225.6464145528. The cubic root of 5216544000 is about 1734.3135809757.

The spelling of 5216544000 in words is "five billion, two hundred sixteen million, five hundred forty-four thousand".