220205260800 has 672 divisors, whose sum is σ = 924735158400. Its totient is φ = 50323783680.

The previous prime is 220205260787. The next prime is 220205260813. The reversal of 220205260800 is 8062502022.

220205260800 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 52 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220205260787) and next prime (220205260813).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38704356 + ... + 38710044.

Almost surely, 2^220205260800 is an apocalyptic number.

220205260800 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 220205260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462367579200).

220205260800 is an abundant number, since it is smaller than the sum of its proper divisors (704529897600).

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

220205260800 is an equidigital number, since it uses as much as digits as its factorization.

220205260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 220205260800 its reverse (8062502022), we get a palindrome (228267762822).

The spelling of 220205260800 in words is "two hundred twenty billion, two hundred five million, two hundred sixty thousand, eight hundred".