220765870080 has 1728 divisors, whose sum is σ = 978774451200. Its totient is φ = 45705461760.

The previous prime is 220765870079. The next prime is 220765870081. The reversal of 220765870080 is 80078567022.

It is an interprime number because it is at equal distance from previous prime (220765870079) and next prime (220765870081).

It is a super-4 number, since 4×220765870080⁴ (a number of 46 digits) contains 4444 as substring.

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 (220765870081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2659829719 + ... + 2659829801.

It is an arithmetic number, because the mean of its divisors is an integer number (566420400).

Almost surely, 2^220765870080 is an apocalyptic number.

220765870080 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 220765870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489387225600).

220765870080 is an abundant number, since it is smaller than the sum of its proper divisors (758008581120).

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

220765870080 is a wasteful number, since it uses less digits than its factorization.

220765870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 220765870080 in words is "two hundred twenty billion, seven hundred sixty-five million, eight hundred seventy thousand, eighty".