220752100480 has 32 divisors (see below), whose sum is σ = 527735491740. Its totient is φ = 88300839936.

The previous prime is 220752100451. The next prime is 220752100489. The reversal of 220752100480 is 84001257022.

It is a happy number.

220752100480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208220641344 + 12531459136 = 456312^2 + 111944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (220752100489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172461939 + ... + 172463218.

Almost surely, 2^220752100480 is an apocalyptic number.

220752100480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220752100480 is an abundant number, since it is smaller than the sum of its proper divisors (306983391260).

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

220752100480 is an equidigital number, since it uses as much as digits as its factorization.

220752100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344925176 (or 344925164 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 220752100480 in words is "two hundred twenty billion, seven hundred fifty-two million, one hundred thousand, four hundred eighty".