220505424300000 has 1296 divisors, whose sum is σ = 914417678210400. Its totient is φ = 50253315840000.

The previous prime is 220505424299989. The next prime is 220505424300001. The reversal of 220505424300000 is 3424505022.

It is a happy number.

220505424300000 is a `hidden beast` number, since 2 + 205 + 0 + 5 + 424 + 30 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220505424300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15390892837 + ... + 15390907163.

It is an arithmetic number, because the mean of its divisors is an integer number (705569196150).

Almost surely, 2^{220505424300000} is an apocalyptic number.

220505424300000 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 220505424300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457208839105200).

220505424300000 is an abundant number, since it is smaller than the sum of its proper divisors (693912253910400).

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

220505424300000 is a wasteful number, since it uses less digits than its factorization.

220505424300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 220505424300000 its reverse (3424505022), we get a palindrome (220508848805022).

The spelling of 220505424300000 in words is "two hundred twenty trillion, five hundred five billion, four hundred twenty-four million, three hundred thousand".