220310552000 has 896 divisors, whose sum is σ = 715742576640. Its totient is φ = 65180160000.

The previous prime is 220310551943. The next prime is 220310552017. The reversal of 220310552000 is 255013022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 127 ways as a sum of consecutive naturals, for example, 1584967931 + ... + 1584968069.

It is an arithmetic number, because the mean of its divisors is an integer number (798819840).

Almost surely, 2^220310552000 is an apocalyptic number.

220310552000 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 220310552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357871288320).

220310552000 is an abundant number, since it is smaller than the sum of its proper divisors (495432024640).

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

220310552000 is a wasteful number, since it uses less digits than its factorization.

220310552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 220310552000 its reverse (255013022), we get a palindrome (220565565022).

The spelling of 220310552000 in words is "two hundred twenty billion, three hundred ten million, five hundred fifty-two thousand".