21284259283200 has 864 divisors, whose sum is σ = 76134127104000. Its totient is φ = 5218836480000.

The previous prime is 21284259283151. The next prime is 21284259283223. The reversal of 21284259283200 is 238295248212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21284259283200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2976399625 + ... + 2976406775.

Almost surely, 2^{21284259283200} is an apocalyptic number.

21284259283200 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 21284259283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067063552000).

21284259283200 is an abundant number, since it is smaller than the sum of its proper divisors (54849867820800).

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

21284259283200 is a wasteful number, since it uses less digits than its factorization.

21284259283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7439 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 21284259283200 in words is "twenty-one trillion, two hundred eighty-four billion, two hundred fifty-nine million, two hundred eighty-three thousand, two hundred".