22220673004800 has 648 divisors, whose sum is σ = 83829887668800. Its totient is φ = 5604168007680.

The previous prime is 22220673004769. The next prime is 22220673004813. The reversal of 22220673004800 is 840037602222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117812971 + ... + 118001429.

It is an arithmetic number, because the mean of its divisors is an integer number (129367110600).

Almost surely, 2^{22220673004800} is an apocalyptic number.

22220673004800 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 22220673004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41914943834400).

22220673004800 is an abundant number, since it is smaller than the sum of its proper divisors (61609214664000).

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

22220673004800 is a wasteful number, since it uses less digits than its factorization.

22220673004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188603 (or 188581 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22220673004800 in words is "twenty-two trillion, two hundred twenty billion, six hundred seventy-three million, four thousand, eight hundred".