220582765728 has 384 divisors, whose sum is σ = 728761743360. Its totient is φ = 64437534720.

The previous prime is 220582765699. The next prime is 220582765729. The reversal of 220582765728 is 827567285022.

220582765728 is a `hidden beast` number, since 2 + 2 + 0 + 582 + 7 + 6 + 57 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (220582765729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18448200 + ... + 18460152.

It is an arithmetic number, because the mean of its divisors is an integer number (1897817040).

Almost surely, 2^220582765728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220582765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364380871680).

220582765728 is an abundant number, since it is smaller than the sum of its proper divisors (508178977632).

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

220582765728 is a wasteful number, since it uses less digits than its factorization.

220582765728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

It can be divided in two parts, 220582 and 765728, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 220582765728 in words is "two hundred twenty billion, five hundred eighty-two million, seven hundred sixty-five thousand, seven hundred twenty-eight".