219869970320 has 320 divisors, whose sum is σ = 691635732480. Its totient is φ = 62773401600.

The previous prime is 219869970311. The next prime is 219869970329. The reversal of 219869970320 is 23079968912.

219869970320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (219869970311) and next prime (219869970329).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (219869970329) 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, 10480001 + ... + 10500959.

It is an arithmetic number, because the mean of its divisors is an integer number (2161361664).

Almost surely, 2^219869970320 is an apocalyptic number.

219869970320 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 219869970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345817866240).

219869970320 is an abundant number, since it is smaller than the sum of its proper divisors (471765762160).

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

219869970320 is a wasteful number, since it uses less digits than its factorization.

219869970320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 219869970320 in words is "two hundred nineteen billion, eight hundred sixty-nine million, nine hundred seventy thousand, three hundred twenty".