21214523200 has 168 divisors, whose sum is σ = 56384391168. Its totient is φ = 7809669120.

The previous prime is 21214523173. The next prime is 21214523201. The reversal of 21214523200 is 232541212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214523201) 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, 7965069 + ... + 7967731.

It is an arithmetic number, because the mean of its divisors is an integer number (335621376).

Almost surely, 2^21214523200 is an apocalyptic number.

21214523200 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 21214523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192195584).

21214523200 is an abundant number, since it is smaller than the sum of its proper divisors (35169867968).

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

21214523200 is a wasteful number, since it uses less digits than its factorization.

21214523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 21214523200 in words is "twenty-one billion, two hundred fourteen million, five hundred twenty-three thousand, two hundred".