21813535296 has 336 divisors, whose sum is σ = 74430355584. Its totient is φ = 5977939968.

The previous prime is 21813535291. The next prime is 21813535301. The reversal of 21813535296 is 69253531812.

21813535296 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 353 + 5 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (21813535291) and next prime (21813535301).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (21813535291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10889431 + ... + 10891433.

Almost surely, 2^21813535296 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 21813535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37215177792).

21813535296 is an abundant number, since it is smaller than the sum of its proper divisors (52616820288).

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

21813535296 is a wasteful number, since it uses less digits than its factorization.

21813535296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2125 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 21813535296 in words is "twenty-one billion, eight hundred thirteen million, five hundred thirty-five thousand, two hundred ninety-six".