219899045863728 has 960 divisors, whose sum is σ = 848406292093440. Its totient is φ = 53738057318400.

The previous prime is 219899045863697. The next prime is 219899045863811. The reversal of 219899045863728 is 827368540998912.

219899045863728 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 9 + 9 + 0 + 4 + 586 + 3 + 7 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13818822300 + ... + 13818838212.

It is an arithmetic number, because the mean of its divisors is an integer number (883756554264).

It is a 2-persistent number, because it is pandigital, and so is 2⋅219899045863728 = 439798091727456, but 3⋅219899045863728 = 659697137591184 is not.

Almost surely, 2^{219899045863728} is an apocalyptic number.

219899045863728 is a gapful number since it is divisible by the number (28) 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 219899045863728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424203146046720).

219899045863728 is an abundant number, since it is smaller than the sum of its proper divisors (628507246229712).

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

219899045863728 is a wasteful number, since it uses less digits than its factorization.

219899045863728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19463 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 219899045863728 in words is "two hundred nineteen trillion, eight hundred ninety-nine billion, forty-five million, eight hundred sixty-three thousand, seven hundred twenty-eight".