21830424350800 has 120 divisors (see below), whose sum is σ = 56735310485504. Its totient is φ = 8024318369280.

The previous prime is 21830424350663. The next prime is 21830424350803. The reversal of 21830424350800 is 805342403812.

21830424350800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21830424350803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8253312 + ... + 10572511.

Almost surely, 2^{21830424350800} is an apocalyptic number.

21830424350800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21830424350800 is an abundant number, since it is smaller than the sum of its proper divisors (34904886134704).

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

21830424350800 is a wasteful number, since it uses less digits than its factorization.

21830424350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18826077 (or 18826066 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 21830424350800 in words is "twenty-one trillion, eight hundred thirty billion, four hundred twenty-four million, three hundred fifty thousand, eight hundred".