220282983790272 has 1344 divisors, whose sum is σ = 726964078224384. Its totient is φ = 63300949770240.

The previous prime is 220282983790253. The next prime is 220282983790273. The reversal of 220282983790272 is 272097389282022.

220282983790272 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 8 + 298 + 3 + 79 + 0 + 272 = 666.

It is not an unprimeable number, because it can be changed into a prime (220282983790273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235093898988 + ... + 235093899924.

It is an arithmetic number, because the mean of its divisors is an integer number (540895891536).

Almost surely, 2^{220282983790272} 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 220282983790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363482039112192).

220282983790272 is an abundant number, since it is smaller than the sum of its proper divisors (506681094434112).

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

220282983790272 is a wasteful number, since it uses less digits than its factorization.

220282983790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 220282983790272 in words is "two hundred twenty trillion, two hundred eighty-two billion, nine hundred eighty-three million, seven hundred ninety thousand, two hundred seventy-two".