21352000000 has 280 divisors, whose sum is σ = 56823725772. Its totient is φ = 7987200000.

The previous prime is 21351999961. The next prime is 21352000001. The reversal of 21352000000 is 25312.

It can be written as a sum of positive squares in 14 ways, for example, as 18102087936 + 3249912064 = 134544^2 + 57008^2 .

It is not an unprimeable number, because it can be changed into a prime (21352000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 135999922 + ... + 136000078.

Almost surely, 2^21352000000 is an apocalyptic number.

21352000000 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 21352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28411862886).

21352000000 is an abundant number, since it is smaller than the sum of its proper divisors (35471725772).

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

21352000000 is an frugal number, since it uses more digits than its factorization.

21352000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 21352000000 its reverse (25312), we get a palindrome (21352025312).

It can be divided in two parts, 2 and 1352000000, that multiplied together give a square (2704000000 = 52000²).

The spelling of 21352000000 in words is "twenty-one billion, three hundred fifty-two million", and thus it is an aban number.