220740256800 has 810 divisors, whose sum is σ = 916169250087. Its totient is φ = 50008412160.

The previous prime is 220740256799. The next prime is 220740256801. The reversal of 220740256800 is 8652047022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220740256800 is a `hidden beast` number, since 2 + 20 + 74 + 0 + 2 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220740256799) and next prime (220740256801).

It can be written as a sum of positive squares in 5 ways, for example, as 16941456 + 220723315344 = 4116^2 + 469812^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332220.

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

It is not an unprimeable number, because it can be changed into a prime (220740256801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1953453544 + ... + 1953453656.

Almost surely, 2^220740256800 is an apocalyptic number.

220740256800 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 220740256800

220740256800 is an abundant number, since it is smaller than the sum of its proper divisors (695428993287).

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

220740256800 is an equidigital number, since it uses as much as digits as its factorization.

220740256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 220740256800 in words is "two hundred twenty billion, seven hundred forty million, two hundred fifty-six thousand, eight hundred".