21800562000000 has 1792 divisors, whose sum is σ = 92257819084800. Its totient is φ = 4440268800000.

The previous prime is 21800561999971. The next prime is 21800562000011. The reversal of 21800562000000 is 26500812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 13565999197 + ... + 13566000803.

Almost surely, 2^{21800562000000} is an apocalyptic number.

21800562000000 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 21800562000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128909542400).

21800562000000 is an abundant number, since it is smaller than the sum of its proper divisors (70457257084800).

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

21800562000000 is an equidigital number, since it uses as much as digits as its factorization.

21800562000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21800562000000 its reverse (26500812), we get a palindrome (21800588500812).

The spelling of 21800562000000 in words is "twenty-one trillion, eight hundred billion, five hundred sixty-two million", and thus it is an aban number.