220210190880 has 192 divisors, whose sum is σ = 735669164160. Its totient is φ = 55177887744.

The previous prime is 220210190873. The next prime is 220210190923. The reversal of 220210190880 is 88091012022.

220210190880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5029242 + ... + 5072838.

It is an arithmetic number, because the mean of its divisors is an integer number (3831610230).

Almost surely, 2^220210190880 is an apocalyptic number.

220210190880 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 220210190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367834582080).

220210190880 is an abundant number, since it is smaller than the sum of its proper divisors (515458973280).

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

220210190880 is a wasteful number, since it uses less digits than its factorization.

220210190880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44251 (or 44243 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 220210190880 in words is "two hundred twenty billion, two hundred ten million, one hundred ninety thousand, eight hundred eighty".