220166729856 has 480 divisors, whose sum is σ = 713276269200. Its totient is φ = 67225697280.

The previous prime is 220166729831. The next prime is 220166729897. The reversal of 220166729856 is 658927661022.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 189308731 + ... + 189309893.

Almost surely, 2^220166729856 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 220166729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638134600).

220166729856 is an abundant number, since it is smaller than the sum of its proper divisors (493109539344).

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

220166729856 is a wasteful number, since it uses less digits than its factorization.

220166729856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 220166729856 in words is "two hundred twenty billion, one hundred sixty-six million, seven hundred twenty-nine thousand, eight hundred fifty-six".