220985856000 has 2496 divisors, whose sum is σ = 1071631282176. Its totient is φ = 42467328000.

The previous prime is 220985855977. The next prime is 220985856001. The reversal of 220985856000 is 658589022.

220985856000 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 8 + 585 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is not an unprimeable number, because it can be changed into a prime (220985856001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7128575985 + ... + 7128576015.

It is an arithmetic number, because the mean of its divisors is an integer number (429339456).

Almost surely, 2^220985856000 is an apocalyptic number.

220985856000 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 220985856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535815641088).

220985856000 is an abundant number, since it is smaller than the sum of its proper divisors (850645426176).

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

220985856000 is a wasteful number, since it uses less digits than its factorization.

220985856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 220985856000 in words is "two hundred twenty billion, nine hundred eighty-five million, eight hundred fifty-six thousand".