220056128208 has 480 divisors, whose sum is σ = 754377312000. Its totient is φ = 59773012992.

The previous prime is 220056128197. The next prime is 220056128209. The reversal of 220056128208 is 802821650022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220056128209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95967510 + ... + 95969802.

It is an arithmetic number, because the mean of its divisors is an integer number (1571619400).

Almost surely, 2^220056128208 is an apocalyptic number.

220056128208 is a gapful number since it is divisible by the number (28) 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 220056128208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377188656000).

220056128208 is an abundant number, since it is smaller than the sum of its proper divisors (534321183792).

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

220056128208 is a wasteful number, since it uses less digits than its factorization.

220056128208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 220056128208 in words is "two hundred twenty billion, fifty-six million, one hundred twenty-eight thousand, two hundred eight".