216968220000 has 1800 divisors, whose sum is σ = 979908841296. Its totient is φ = 46096128000.

The previous prime is 216968219999. The next prime is 216968220017. The reversal of 216968220000 is 22869612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

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 299 ways as a sum of consecutive naturals, for example, 4093739974 + ... + 4093740026.

Almost surely, 2^216968220000 is an apocalyptic number.

216968220000 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 216968220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489954420648).

216968220000 is an abundant number, since it is smaller than the sum of its proper divisors (762940621296).

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

216968220000 is an equidigital number, since it uses as much as digits as its factorization.

216968220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 216968220000 in words is "two hundred sixteen billion, nine hundred sixty-eight million, two hundred twenty thousand".