220182727680 has 308 divisors, whose sum is σ = 791921940192. Its totient is φ = 58714398720.

The previous prime is 220182727673. The next prime is 220182727733. The reversal of 220182727680 is 86727281022.

220182727680 is a `hidden beast` number, since 220 + 1 + 82 + 7 + 276 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3702985 + ... + 3761975.

Almost surely, 2^220182727680 is an apocalyptic number.

220182727680 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 220182727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395960970096).

220182727680 is an abundant number, since it is smaller than the sum of its proper divisors (571739212512).

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

220182727680 is an frugal number, since it uses more digits than its factorization.

220182727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59034 (or 59001 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 220182727680 in words is "two hundred twenty billion, one hundred eighty-two million, seven hundred twenty-seven thousand, six hundred eighty".