219999919104 has 880 divisors, whose sum is σ = 821766021120. Its totient is φ = 57171640320.

The previous prime is 219999919093. The next prime is 219999919169. The reversal of 219999919104 is 401919999912.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 305980057 + ... + 305980775.

It is an arithmetic number, because the mean of its divisors is an integer number (933825024).

Almost surely, 2^219999919104 is an apocalyptic number.

219999919104 is a gapful number since it is divisible by the number (24) 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 219999919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410883010560).

219999919104 is an abundant number, since it is smaller than the sum of its proper divisors (601766102016).

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

219999919104 is a wasteful number, since it uses less digits than its factorization.

219999919104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 63.

The spelling of 219999919104 in words is "two hundred nineteen billion, nine hundred ninety-nine million, nine hundred nineteen thousand, one hundred four".