220081844505600 has 1188 divisors, whose sum is σ = 999982069616088. Its totient is φ = 45731266560000.

The previous prime is 220081844505599. The next prime is 220081844505613. The reversal of 220081844505600 is 6505448180022.

220081844505600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 8 + 1 + 84 + 4 + 5 + 0 + 560 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 123299500 + ... + 125071700.

Almost surely, 2^{220081844505600} is an apocalyptic number.

220081844505600 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 220081844505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499991034808044).

220081844505600 is an abundant number, since it is smaller than the sum of its proper divisors (779900225110488).

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

220081844505600 is a wasteful number, since it uses less digits than its factorization.

220081844505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772262 (or 1772229 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 220081844505600 in words is "two hundred twenty trillion, eighty-one billion, eight hundred forty-four million, five hundred five thousand, six hundred".