220072320000 has 660 divisors, whose sum is σ = 855436141560. Its totient is φ = 54153216000.

The previous prime is 220072319903. The next prime is 220072320019. The reversal of 220072320000 is 23270022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74878531 + ... + 74881469.

It is an arithmetic number, because the mean of its divisors is an integer number (1296115366).

Almost surely, 2^220072320000 is an apocalyptic number.

220072320000 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 220072320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427718070780).

220072320000 is an abundant number, since it is smaller than the sum of its proper divisors (635363821560).

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

220072320000 is a wasteful number, since it uses less digits than its factorization.

220072320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 220072320000 its reverse (23270022), we get a palindrome (220095590022).

The spelling of 220072320000 in words is "two hundred twenty billion, seventy-two million, three hundred twenty thousand".