216916716720 has 320 divisors, whose sum is σ = 755855193600. Its totient is φ = 51011051520.

The previous prime is 216916716703. The next prime is 216916716749. The reversal of 216916716720 is 27617619612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 216916716720.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12444171 + ... + 12461589.

It is an arithmetic number, because the mean of its divisors is an integer number (2362047480).

Almost surely, 2^216916716720 is an apocalyptic number.

216916716720 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 216916716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377927596800).

216916716720 is an abundant number, since it is smaller than the sum of its proper divisors (538938476880).

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

216916716720 is a wasteful number, since it uses less digits than its factorization.

216916716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17588 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 216916716720 in words is "two hundred sixteen billion, nine hundred sixteen million, seven hundred sixteen thousand, seven hundred twenty".