220806523392 has 1280 divisors, whose sum is σ = 818347622400. Its totient is φ = 51279298560.

The previous prime is 220806523369. The next prime is 220806523393. The reversal of 220806523392 is 293325608022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (220806523393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3619779042 + ... + 3619779102.

It is an arithmetic number, because the mean of its divisors is an integer number (639334080).

Almost surely, 2^220806523392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220806523392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409173811200).

220806523392 is an abundant number, since it is smaller than the sum of its proper divisors (597541099008).

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

220806523392 is a wasteful number, since it uses less digits than its factorization.

220806523392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 220806523392 in words is "two hundred twenty billion, eight hundred six million, five hundred twenty-three thousand, three hundred ninety-two".