21353533535312 has 80 divisors (see below), whose sum is σ = 45626227841664. Its totient is φ = 9600404160000.

The previous prime is 21353533535267. The next prime is 21353533535333.

21353533535312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17120237 + ... + 18325107.

Almost surely, 2^{21353533535312} is an apocalyptic number.

21353533535312 is a gapful number since it is divisible by the number (22) 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 21353533535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813113920832).

21353533535312 is an abundant number, since it is smaller than the sum of its proper divisors (24272694306352).

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

21353533535312 is a wasteful number, since it uses less digits than its factorization.

21353533535312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205988 (or 1205982 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 44.

The spelling of 21353533535312 in words is "twenty-one trillion, three hundred fifty-three billion, five hundred thirty-three million, five hundred thirty-five thousand, three hundred twelve".