220772491080 has 384 divisors, whose sum is σ = 720636134400. Its totient is φ = 54002443264.

The previous prime is 220772491061. The next prime is 220772491087. The reversal of 220772491080 is 80194277022.

220772491080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220772491087) 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 95 ways as a sum of consecutive naturals, for example, 526903111 + ... + 526903529.

It is an arithmetic number, because the mean of its divisors is an integer number (1876656600).

Almost surely, 2^220772491080 is an apocalyptic number.

220772491080 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 220772491080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360318067200).

220772491080 is an abundant number, since it is smaller than the sum of its proper divisors (499863643320).

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

220772491080 is a wasteful number, since it uses less digits than its factorization.

220772491080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 220772491080 in words is "two hundred twenty billion, seven hundred seventy-two million, four hundred ninety-one thousand, eighty".