219482000207820 has 192 divisors, whose sum is σ = 780683070182400. Its totient is φ = 50147859870720.

The previous prime is 219482000207819. The next prime is 219482000207849. The reversal of 219482000207820 is 28702000284912.

It is a happy number.

219482000207820 is a `hidden beast` number, since 219 + 4 + 8 + 200 + 0 + 207 + 8 + 20 = 666.

219482000207820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1508461 + ... + 21005700.

It is an arithmetic number, because the mean of its divisors is an integer number (4066057657200).

Almost surely, 2^{219482000207820} is an apocalyptic number.

219482000207820 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 219482000207820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390341535091200).

219482000207820 is an abundant number, since it is smaller than the sum of its proper divisors (561201069974580).

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

219482000207820 is a wasteful number, since it uses less digits than its factorization.

219482000207820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22516765 (or 22516757 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 219482000207820 in words is "two hundred nineteen trillion, four hundred eighty-two billion, two hundred seven thousand, eight hundred twenty".