5214016000 has 160 divisors (see below), whose sum is σ = 13093237872. Its totient is φ = 2070937600.

The previous prime is 5214015997. The next prime is 5214016009. The reversal of 5214016000 is 6104125.

It can be written as a sum of positive squares in 8 ways, for example, as 287099136 + 4926916864 = 16944^2 + 70192^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5214016009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16447842 + ... + 16448158.

Almost surely, 2^5214016000 is an apocalyptic number.

5214016000 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 5214016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546618936).

5214016000 is an abundant number, since it is smaller than the sum of its proper divisors (7879221872).

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

5214016000 is an equidigital number, since it uses as much as digits as its factorization.

5214016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5214016000 is about 72208.1435850556. The cubic root of 5214016000 is about 1734.0333792969.

The spelling of 5214016000 in words is "five billion, two hundred fourteen million, sixteen thousand".