220009608000 has 2520 divisors, whose sum is σ = 1050240895704. Its totient is φ = 45287424000.

The previous prime is 220009607981. The next prime is 220009608001. The reversal of 220009608000 is 806900022.

It can be written as a sum of positive squares in 12 ways, for example, as 217812623616 + 2196984384 = 466704^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×220009608000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220009608001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5366087980 + ... + 5366088020.

Almost surely, 2^220009608000 is an apocalyptic number.

220009608000 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 220009608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525120447852).

220009608000 is an abundant number, since it is smaller than the sum of its proper divisors (830231287704).

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

220009608000 is a wasteful number, since it uses less digits than its factorization.

220009608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 220009608000 in words is "two hundred twenty billion, nine million, six hundred eight thousand".