21984853917000 has 1024 divisors, whose sum is σ = 80818804684800. Its totient is φ = 4954731724800.

The previous prime is 21984853916957. The next prime is 21984853917011. The reversal of 21984853917000 is 71935848912.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4145736349 + ... + 4145741651.

It is an arithmetic number, because the mean of its divisors is an integer number (78924613950).

Almost surely, 2^{21984853917000} is an apocalyptic number.

21984853917000 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 21984853917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40409402342400).

21984853917000 is an abundant number, since it is smaller than the sum of its proper divisors (58833950767800).

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

21984853917000 is a wasteful number, since it uses less digits than its factorization.

21984853917000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 21984853917000 in words is "twenty-one trillion, nine hundred eighty-four billion, eight hundred fifty-three million, nine hundred seventeen thousand".