219808080000 has 560 divisors, whose sum is σ = 820640084550. Its totient is φ = 58599936000.

The previous prime is 219808079993. The next prime is 219808080001. The reversal of 219808080000 is 80808912.

It can be written as a sum of positive squares in 5 ways, for example, as 17761425984 + 202046654016 = 133272^2 + 449496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (219808080001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58318116 + ... + 58321884.

Almost surely, 2^219808080000 is an apocalyptic number.

219808080000 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 219808080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410320042275).

219808080000 is an abundant number, since it is smaller than the sum of its proper divisors (600832004550).

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

219808080000 is an frugal number, since it uses more digits than its factorization.

219808080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 219808080000 its reverse (80808912), we get a palindrome (219888888912).

The spelling of 219808080000 in words is "two hundred nineteen billion, eight hundred eight million, eighty thousand".