206220219360 has 192 divisors, whose sum is σ = 654962837760. Its totient is φ = 54538997760.

The previous prime is 206220219353. The next prime is 206220219419. The reversal of 206220219360 is 63912022602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40760511 + ... + 40765569.

It is an arithmetic number, because the mean of its divisors is an integer number (3411264780).

Almost surely, 2^206220219360 is an apocalyptic number.

206220219360 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 206220219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327481418880).

206220219360 is an abundant number, since it is smaller than the sum of its proper divisors (448742618400).

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

206220219360 is a wasteful number, since it uses less digits than its factorization.

206220219360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 206220219360 in words is "two hundred six billion, two hundred twenty million, two hundred nineteen thousand, three hundred sixty".