219798088272 has 320 divisors, whose sum is σ = 745564979200. Its totient is φ = 60669596160.

The previous prime is 219798088261. The next prime is 219798088291. The reversal of 219798088272 is 272880897912.

219798088272 is a `hidden beast` number, since 219 + 79 + 8 + 0 + 88 + 272 = 666.

219798088272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×219798088272² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66462843 + ... + 66466149.

It is an arithmetic number, because the mean of its divisors is an integer number (2329890560).

Almost surely, 2^219798088272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219798088272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372782489600).

219798088272 is an abundant number, since it is smaller than the sum of its proper divisors (525766890928).

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

219798088272 is a wasteful number, since it uses less digits than its factorization.

219798088272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 219798088272 in words is "two hundred nineteen billion, seven hundred ninety-eight million, eighty-eight thousand, two hundred seventy-two".