216335013000 has 256 divisors, whose sum is σ = 719834169600. Its totient is φ = 53903462400.

The previous prime is 216335012989. The next prime is 216335013001. The reversal of 216335013000 is 310533612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (216335013001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7073742 + ... + 7104258.

It is an arithmetic number, because the mean of its divisors is an integer number (2811852225).

Almost surely, 2^216335013000 is an apocalyptic number.

216335013000 is a gapful number since it is divisible by the number (20) 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 216335013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359917084800).

216335013000 is an abundant number, since it is smaller than the sum of its proper divisors (503499156600).

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

216335013000 is a wasteful number, since it uses less digits than its factorization.

216335013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30697 (or 30683 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 216335013000 its reverse (310533612), we get a palindrome (216645546612).

The spelling of 216335013000 in words is "two hundred sixteen billion, three hundred thirty-five million, thirteen thousand".