220656957920 has 192 divisors, whose sum is σ = 603714456576. Its totient is φ = 74651136000.

The previous prime is 220656957887. The next prime is 220656958001. The reversal of 220656957920 is 29759656022.

220656957920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31514420 + ... + 31521420.

It is an arithmetic number, because the mean of its divisors is an integer number (3144346128).

Almost surely, 2^220656957920 is an apocalyptic number.

220656957920 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 220656957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301857228288).

220656957920 is an abundant number, since it is smaller than the sum of its proper divisors (383057498656).

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

220656957920 is a wasteful number, since it uses less digits than its factorization.

220656957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 220656957920 in words is "two hundred twenty billion, six hundred fifty-six million, nine hundred fifty-seven thousand, nine hundred twenty".