220205710000 has 100 divisors (see below), whose sum is σ = 550338885184. Its totient is φ = 85240800000.

The previous prime is 220205709973. The next prime is 220205710079. The reversal of 220205710000 is 17502022.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 220205710000.

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 19 ways as a sum of consecutive naturals, for example, 45171 + ... + 665170.

Almost surely, 2^220205710000 is an apocalyptic number.

220205710000 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 220205710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275169442592).

220205710000 is an abundant number, since it is smaller than the sum of its proper divisors (330133175184).

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

220205710000 is an equidigital number, since it uses as much as digits as its factorization.

220205710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710400 (or 710379 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The spelling of 220205710000 in words is "two hundred twenty billion, two hundred five million, seven hundred ten thousand".