216513040000 has 80 divisors (see below), whose sum is σ = 538995880170. Its totient is φ = 86605184000.

The previous prime is 216513039943. The next prime is 216513040001. The reversal of 216513040000 is 40315612.

It can be written as a sum of positive squares in 5 ways, for example, as 2795448384 + 213717591616 = 52872^2 + 462296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (216513040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1273207 + ... + 1433206.

Almost surely, 2^216513040000 is an apocalyptic number.

216513040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216513040000 is an abundant number, since it is smaller than the sum of its proper divisors (322482840170).

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

216513040000 is an frugal number, since it uses more digits than its factorization.

216513040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706447 (or 2706420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 216513040000 its reverse (40315612), we get a palindrome (216553355612).

The spelling of 216513040000 in words is "two hundred sixteen billion, five hundred thirteen million, forty thousand".