21146003200 has 216 divisors, whose sum is σ = 61438241312. Its totient is φ = 7053557760.

The previous prime is 21146003191. The next prime is 21146003227. The reversal of 21146003200 is 230064112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651222 + ... + 1663978.

Almost surely, 2^21146003200 is an apocalyptic number.

21146003200 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 21146003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30719120656).

21146003200 is an abundant number, since it is smaller than the sum of its proper divisors (40292238112).

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

21146003200 is a wasteful number, since it uses less digits than its factorization.

21146003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21146003200 its reverse (230064112), we get a palindrome (21376067312).

The spelling of 21146003200 in words is "twenty-one billion, one hundred forty-six million, three thousand, two hundred".