220242728433888 has 240 divisors, whose sum is σ = 684671514912000. Its totient is φ = 69259326006528.

The previous prime is 220242728433859. The next prime is 220242728433901. The reversal of 220242728433888 is 888334827242022.

220242728433888 is a `hidden beast` number, since 2 + 2 + 0 + 24 + 272 + 8 + 4 + 338 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2414383 + ... + 21126161.

It is an arithmetic number, because the mean of its divisors is an integer number (2852797978800).

Almost surely, 2^{220242728433888} 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 220242728433888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342335757456000).

220242728433888 is an abundant number, since it is smaller than the sum of its proper divisors (464428786478112).

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

220242728433888 is a wasteful number, since it uses less digits than its factorization.

220242728433888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18712059 (or 18712042 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 63.

The spelling of 220242728433888 in words is "two hundred twenty trillion, two hundred forty-two billion, seven hundred twenty-eight million, four hundred thirty-three thousand, eight hundred eighty-eight".