21553251004200 has 384 divisors, whose sum is σ = 71892541440000. Its totient is φ = 5324397696000.

The previous prime is 21553251004199. The next prime is 21553251004279. The reversal of 21553251004200 is 240015235512.

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

It is an unprimeable number.

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, 616688326 + ... + 616723274.

It is an arithmetic number, because the mean of its divisors is an integer number (187220160000).

Almost surely, 2^{21553251004200} is an apocalyptic number.

21553251004200 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 21553251004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35946270720000).

21553251004200 is an abundant number, since it is smaller than the sum of its proper divisors (50339290435800).

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

21553251004200 is a wasteful number, since it uses less digits than its factorization.

21553251004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36185 (or 36176 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 21553251004200 its reverse (240015235512), we get a palindrome (21793266239712).

The spelling of 21553251004200 in words is "twenty-one trillion, five hundred fifty-three billion, two hundred fifty-one million, four thousand, two hundred".