21353835312 has 120 divisors (see below), whose sum is σ = 60570841968. Its totient is φ = 7022016000.

The previous prime is 21353835301. The next prime is 21353835341.

21353835312 is a `hidden beast` number, since 213 + 5 + 383 + 53 + 12 = 666.

21353835312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4258887 + ... + 4263897.

Almost surely, 2^21353835312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21353835312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30285420984).

21353835312 is an abundant number, since it is smaller than the sum of its proper divisors (39217006656).

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

21353835312 is a wasteful number, since it uses less digits than its factorization.

21353835312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5410 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 21353835312 in words is "twenty-one billion, three hundred fifty-three million, eight hundred thirty-five thousand, three hundred twelve".