220355627856 has 640 divisors, whose sum is σ = 781496647680. Its totient is φ = 51847133184.

The previous prime is 220355627851. The next prime is 220355627873. The reversal of 220355627856 is 658726553022.

220355627856 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220355627799 and 220355627808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220355627851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127889811 + ... + 127891533.

It is an arithmetic number, because the mean of its divisors is an integer number (1221088512).

Almost surely, 2^220355627856 is an apocalyptic number.

220355627856 is a gapful number since it is divisible by the number (26) 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 220355627856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390748323840).

220355627856 is an abundant number, since it is smaller than the sum of its proper divisors (561141019824).

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

220355627856 is a wasteful number, since it uses less digits than its factorization.

220355627856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 220355627856 in words is "two hundred twenty billion, three hundred fifty-five million, six hundred twenty-seven thousand, eight hundred fifty-six".