21352100000000 has 1296 divisors, whose sum is σ = 68984964679680. Its totient is φ = 6403200000000.

The previous prime is 21352099999981. The next prime is 21352100000029. The reversal of 21352100000000 is 125312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361899999971 + ... + 361900000029.

Almost surely, 2^{21352100000000} is an apocalyptic number.

21352100000000 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 21352100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34492482339840).

21352100000000 is an abundant number, since it is smaller than the sum of its proper divisors (47632864679680).

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

21352100000000 is an frugal number, since it uses more digits than its factorization.

21352100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 21352100000000 its reverse (125312), we get a palindrome (21352100125312).

The spelling of 21352100000000 in words is "twenty-one trillion, three hundred fifty-two billion, one hundred million", and thus it is an aban number.