21308282109000 has 384 divisors, whose sum is σ = 74697837327360. Its totient is φ = 5472835200000.

The previous prime is 21308282108987. The next prime is 21308282109011. The reversal of 21308282109000 is 90128280312.

It is a super-3 number, since 3×21308282109000³ (a number of 41 digits) contains 333 as substring.

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

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, 58688020 + ... + 59049980.

It is an arithmetic number, because the mean of its divisors is an integer number (194525618040).

Almost surely, 2^{21308282109000} is an apocalyptic number.

21308282109000 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 21308282109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37348918663680).

21308282109000 is an abundant number, since it is smaller than the sum of its proper divisors (53389555218360).

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

21308282109000 is a wasteful number, since it uses less digits than its factorization.

21308282109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362230 (or 362213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21308282109000 in words is "twenty-one trillion, three hundred eight billion, two hundred eighty-two million, one hundred nine thousand".