21284953200 has 1080 divisors, whose sum is σ = 92117385360. Its totient is φ = 4702924800.

The previous prime is 21284953171. The next prime is 21284953213. The reversal of 21284953200 is 235948212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 195274746 + ... + 195274854.

Almost surely, 2^21284953200 is an apocalyptic number.

21284953200 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 21284953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46058692680).

21284953200 is an abundant number, since it is smaller than the sum of its proper divisors (70832432160).

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

21284953200 is a wasteful number, since it uses less digits than its factorization.

21284953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21284953200 in words is "twenty-one billion, two hundred eighty-four million, nine hundred fifty-three thousand, two hundred".