220823398800 has 300 divisors, whose sum is σ = 798582558576. Its totient is φ = 58435603200.

The previous prime is 220823398777. The next prime is 220823398801. The reversal of 220823398800 is 8893328022.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (220823398801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4218387 + ... + 4270413.

Almost surely, 2^220823398800 is an apocalyptic number.

220823398800 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 220823398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399291279288).

220823398800 is an abundant number, since it is smaller than the sum of its proper divisors (577759159776).

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

220823398800 is a wasteful number, since it uses less digits than its factorization.

220823398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52188 (or 52168 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 220823398800 in words is "two hundred twenty billion, eight hundred twenty-three million, three hundred ninety-eight thousand, eight hundred".