21450404350200 has 384 divisors, whose sum is σ = 76130190213120. Its totient is φ = 4894284019200.

The previous prime is 21450404350189. The next prime is 21450404350201. The reversal of 21450404350200 is 205340405412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21450404350201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10397674369 + ... + 10397676431.

It is an arithmetic number, because the mean of its divisors is an integer number (198255703680).

Almost surely, 2^{21450404350200} is an apocalyptic number.

21450404350200 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 21450404350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38065095106560).

21450404350200 is an abundant number, since it is smaller than the sum of its proper divisors (54679785862920).

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

21450404350200 is a wasteful number, since it uses less digits than its factorization.

21450404350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 21450404350200 its reverse (205340405412), we get a palindrome (21655744755612).

The spelling of 21450404350200 in words is "twenty-one trillion, four hundred fifty billion, four hundred four million, three hundred fifty thousand, two hundred".