219945223680 has 320 divisors, whose sum is σ = 865402610688. Its totient is φ = 46405877760.

The previous prime is 219945223669. The next prime is 219945223723. The reversal of 219945223680 is 86322549912.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541525 + ... + 856235.

Almost surely, 2^219945223680 is an apocalyptic number.

219945223680 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 219945223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432701305344).

219945223680 is an abundant number, since it is smaller than the sum of its proper divisors (645457387008).

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

219945223680 is a wasteful number, since it uses less digits than its factorization.

219945223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314757 (or 314741 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 219945223680 in words is "two hundred nineteen billion, nine hundred forty-five million, two hundred twenty-three thousand, six hundred eighty".