220533528960 has 1280 divisors, whose sum is σ = 875827814400. Its totient is φ = 52672757760.

The previous prime is 220533528913. The next prime is 220533528967. The reversal of 220533528960 is 69825335022.

220533528960 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 33 + 528 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220533528967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1736484417 + ... + 1736484543.

It is an arithmetic number, because the mean of its divisors is an integer number (684240480).

Almost surely, 2^220533528960 is an apocalyptic number.

220533528960 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 220533528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437913907200).

220533528960 is an abundant number, since it is smaller than the sum of its proper divisors (655294285440).

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

220533528960 is a wasteful number, since it uses less digits than its factorization.

220533528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 220533528960 in words is "two hundred twenty billion, five hundred thirty-three million, five hundred twenty-eight thousand, nine hundred sixty".