219378644160 has 448 divisors, whose sum is σ = 785424245760. Its totient is φ = 51474677760.

The previous prime is 219378644131. The next prime is 219378644161. The reversal of 219378644160 is 61446873912.

It is a happy number.

219378644160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (219378644161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95009086 + ... + 95011394.

It is an arithmetic number, because the mean of its divisors is an integer number (1753179120).

Almost surely, 2^219378644160 is an apocalyptic number.

219378644160 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 219378644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392712122880).

219378644160 is an abundant number, since it is smaller than the sum of its proper divisors (566045601600).

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

219378644160 is a wasteful number, since it uses less digits than its factorization.

219378644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 219378644160 in words is "two hundred nineteen billion, three hundred seventy-eight million, six hundred forty-four thousand, one hundred sixty".