21335253312 has 224 divisors, whose sum is σ = 59264239104. Its totient is φ = 6768230400.

The previous prime is 21335253257. The next prime is 21335253323.

It is a happy number.

21335253312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21335253312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78727737 + ... + 78728007.

It is an arithmetic number, because the mean of its divisors is an integer number (264572496).

Almost surely, 2^21335253312 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 21335253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29632119552).

21335253312 is an abundant number, since it is smaller than the sum of its proper divisors (37928985792).

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

21335253312 is a wasteful number, since it uses less digits than its factorization.

21335253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The spelling of 21335253312 in words is "twenty-one billion, three hundred thirty-five million, two hundred fifty-three thousand, three hundred twelve".