21521304352200 has 192 divisors, whose sum is σ = 68143329976320. Its totient is φ = 5616265120000.

The previous prime is 21521304352199. The next prime is 21521304352211. The reversal of 21521304352200 is 225340312512.

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 47 ways as a sum of consecutive naturals, for example, 277759465 + ... + 277836935.

It is an arithmetic number, because the mean of its divisors is an integer number (354913176960).

Almost surely, 2^{21521304352200} is an apocalyptic number.

21521304352200 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 21521304352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34071664988160).

21521304352200 is an abundant number, since it is smaller than the sum of its proper divisors (46622025624120).

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

21521304352200 is a wasteful number, since it uses less digits than its factorization.

21521304352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87388 (or 87379 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 21521304352200 its reverse (225340312512), we get a palindrome (21746644664712).

The spelling of 21521304352200 in words is "twenty-one trillion, five hundred twenty-one billion, three hundred four million, three hundred fifty-two thousand, two hundred".