220481200800 has 1152 divisors, whose sum is σ = 996416225280. Its totient is φ = 45884620800.

The previous prime is 220481200789. The next prime is 220481200829. The reversal of 220481200800 is 8002184022.

It is a super-2 number, since 2×220481200800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79681017 + ... + 79683783.

It is an arithmetic number, because the mean of its divisors is an integer number (864944640).

Almost surely, 2^220481200800 is an apocalyptic number.

220481200800 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 220481200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498208112640).

220481200800 is an abundant number, since it is smaller than the sum of its proper divisors (775935024480).

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

220481200800 is a wasteful number, since it uses less digits than its factorization.

220481200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 220481200800 its reverse (8002184022), we get a palindrome (228483384822).

The spelling of 220481200800 in words is "two hundred twenty billion, four hundred eighty-one million, two hundred thousand, eight hundred".