220564114560 has 640 divisors, whose sum is σ = 837550335600. Its totient is φ = 55122591744.

The previous prime is 220564114531. The next prime is 220564114643. The reversal of 220564114560 is 65411465022.

220564114560 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 641 + 1 + 4 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72240538176 + 148323576384 = 268776^2 + 385128^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311091486 + ... + 311092194.

Almost surely, 2^220564114560 is an apocalyptic number.

220564114560 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 220564114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418775167800).

220564114560 is an abundant number, since it is smaller than the sum of its proper divisors (616986221040).

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

220564114560 is a wasteful number, since it uses less digits than its factorization.

220564114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 220564114560 its reverse (65411465022), we get a palindrome (285975579582).

The spelling of 220564114560 in words is "two hundred twenty billion, five hundred sixty-four million, one hundred fourteen thousand, five hundred sixty".