5328416016 has 405 divisors, whose sum is σ = 19311558903. Its totient is φ = 1366485120.

The previous prime is 5328415987. The next prime is 5328416017. The reversal of 5328416016 is 6106148235.

It is a happy number.

The square root of 5328416016 is 72996.

It is a perfect power (a square), and thus also a powerful number.

5328416016 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 41 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5328416017) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 67448265 + ... + 67448343.

Almost surely, 2^5328416016 is an apocalyptic number.

5328416016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5328416016 is the 72996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328416016

5328416016 is an abundant number, since it is smaller than the sum of its proper divisors (13983142887).

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

5328416016 is a wasteful number, since it uses less digits than its factorization.

5328416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 5328416016 is about 1746.6238053180.

Multiplying 5328416016 by its sum of digits (36), we get a square (191822976576 = 437976²).

5328416016 divided by its sum of digits (36) gives a square (148011556 = 12166²).

The spelling of 5328416016 in words is "five billion, three hundred twenty-eight million, four hundred sixteen thousand, sixteen".