21353120000 has 180 divisors, whose sum is σ = 53556415836. Its totient is φ = 8494080000.

The previous prime is 21353119993. The next prime is 21353120003. The reversal of 21353120000 is 2135312.

It can be written as a sum of positive squares in 10 ways, for example, as 20994850816 + 358269184 = 144896^2 + 18928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21353120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50719790 + ... + 50720210.

Almost surely, 2^21353120000 is an apocalyptic number.

21353120000 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 21353120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26778207918).

21353120000 is an abundant number, since it is smaller than the sum of its proper divisors (32203295836).

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

21353120000 is an frugal number, since it uses more digits than its factorization.

21353120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 21353120000 its reverse (2135312), we get a palindrome (21355255312).

21353120000 divided by its reverse (2135312) gives a 4-th power (10000 = 10⁴).

The spelling of 21353120000 in words is "twenty-one billion, three hundred fifty-three million, one hundred twenty thousand".