220834800000 has 288 divisors, whose sum is σ = 794306036160. Its totient is φ = 58888320000.

The previous prime is 220834799957. The next prime is 220834800007. The reversal of 220834800000 is 8438022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220834800007) 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 35 ways as a sum of consecutive naturals, for example, 3569329 + ... + 3630671.

It is an arithmetic number, because the mean of its divisors is an integer number (2758007070).

Almost surely, 2^220834800000 is an apocalyptic number.

220834800000 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 220834800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397153018080).

220834800000 is an abundant number, since it is smaller than the sum of its proper divisors (573471236160).

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

220834800000 is an frugal number, since it uses more digits than its factorization.

220834800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61388 (or 61353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 220834800000 in words is "two hundred twenty billion, eight hundred thirty-four million, eight hundred thousand".