219720027912 has 256 divisors, whose sum is σ = 698732697600. Its totient is φ = 55915591680.

The previous prime is 219720027907. The next prime is 219720027929.

219720027912 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110577783 + ... + 110579769.

It is an arithmetic number, because the mean of its divisors is an integer number (2729424600).

Almost surely, 2^219720027912 is an apocalyptic number.

219720027912 is a gapful number since it is divisible by the number (22) 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 219720027912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349366348800).

219720027912 is an abundant number, since it is smaller than the sum of its proper divisors (479012669688).

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

219720027912 is a wasteful number, since it uses less digits than its factorization.

219720027912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 219720027912 in words is "two hundred nineteen billion, seven hundred twenty million, twenty-seven thousand, nine hundred twelve".