220580820000 has 810 divisors, whose sum is σ = 834288183729. Its totient is φ = 57386880000.

The previous prime is 220580819999. The next prime is 220580820007. The reversal of 220580820000 is 28085022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220580820000 is a `hidden beast` number, since 2 + 2 + 0 + 580 + 82 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 124036387344 + 96544432656 = 352188^2 + 310716^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332100.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220580820007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5380019980 + ... + 5380020020.

Almost surely, 2^220580820000 is an apocalyptic number.

220580820000 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 220580820000

220580820000 is an abundant number, since it is smaller than the sum of its proper divisors (613707363729).

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

220580820000 is an frugal number, since it uses more digits than its factorization.

220580820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 220580820000 in words is "two hundred twenty billion, five hundred eighty million, eight hundred twenty thousand".