21286421200 has 240 divisors, whose sum is σ = 57191339520. Its totient is φ = 7548352000.

The previous prime is 21286421173. The next prime is 21286421201. The reversal of 21286421200 is 212468212.

It is a super-2 number, since 2×21286421200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21286421201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43352955 + ... + 43353445.

It is an arithmetic number, because the mean of its divisors is an integer number (238297248).

Almost surely, 2^21286421200 is an apocalyptic number.

21286421200 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 21286421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28595669760).

21286421200 is an abundant number, since it is smaller than the sum of its proper divisors (35904918320).

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

21286421200 is a wasteful number, since it uses less digits than its factorization.

21286421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 21286421200 its reverse (212468212), we get a palindrome (21498889412).

The spelling of 21286421200 in words is "twenty-one billion, two hundred eighty-six million, four hundred twenty-one thousand, two hundred".