220534400000 has 132 divisors (see below), whose sum is σ = 551039520276. Its totient is φ = 88212480000.

The previous prime is 220534399961. The next prime is 220534400057. The reversal of 220534400000 is 4435022.

It can be written as a sum of positive squares in 6 ways, for example, as 194191811584 + 26342588416 = 440672^2 + 162304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3165542 + ... + 3234458.

Almost surely, 2^220534400000 is an apocalyptic number.

220534400000 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 220534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275519760138).

220534400000 is an abundant number, since it is smaller than the sum of its proper divisors (330505120276).

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

220534400000 is an frugal number, since it uses more digits than its factorization.

220534400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68962 (or 68924 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 220534400000 its reverse (4435022), we get a palindrome (220538835022).

The spelling of 220534400000 in words is "two hundred twenty billion, five hundred thirty-four million, four hundred thousand".