220795418880 has 648 divisors, whose sum is σ = 821584982400. Its totient is φ = 54586441728.

The previous prime is 220795418813. The next prime is 220795418887. The reversal of 220795418880 is 88814597022.

220795418880 is a `hidden beast` number, since 2 + 20 + 79 + 541 + 8 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (220795418887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1953941704 + ... + 1953941816.

Almost surely, 2^220795418880 is an apocalyptic number.

220795418880 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 220795418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410792491200).

220795418880 is an abundant number, since it is smaller than the sum of its proper divisors (600789563520).

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

220795418880 is a wasteful number, since it uses less digits than its factorization.

220795418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 220795418880 in words is "two hundred twenty billion, seven hundred ninety-five million, four hundred eighteen thousand, eight hundred eighty".