21288690009936 has 200 divisors, whose sum is σ = 64908296064480. Its totient is φ = 6717590413056.

The previous prime is 21288690009877. The next prime is 21288690009947. The reversal of 21288690009936 is 63990009688212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31852830 + ... + 32514306.

Almost surely, 2^{21288690009936} 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 21288690009936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32454148032240).

21288690009936 is an abundant number, since it is smaller than the sum of its proper divisors (43619606054544).

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

21288690009936 is a wasteful number, since it uses less digits than its factorization.

21288690009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662823 (or 662808 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 21288690009936 in words is "twenty-one trillion, two hundred eighty-eight billion, six hundred ninety million, nine thousand, nine hundred thirty-six".