220920860160 has 2560 divisors, whose sum is σ = 1098169712640. Its totient is φ = 40609382400.

The previous prime is 220920860159. The next prime is 220920860179. The reversal of 220920860160 is 61068029022.

It is a happy number.

220920860160 is a `hidden beast` number, since 2 + 20 + 9 + 20 + 8 + 601 + 6 + 0 = 666.

220920860160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2144862669 + ... + 2144862771.

It is an arithmetic number, because the mean of its divisors is an integer number (428972544).

Almost surely, 2^220920860160 is an apocalyptic number.

220920860160 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 220920860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549084856320).

220920860160 is an abundant number, since it is smaller than the sum of its proper divisors (877248852480).

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

220920860160 is a wasteful number, since it uses less digits than its factorization.

220920860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 220920860160 its reverse (61068029022), we get a palindrome (281988889182).

The spelling of 220920860160 in words is "two hundred twenty billion, nine hundred twenty million, eight hundred sixty thousand, one hundred sixty".