21326289810048 has 384 divisors, whose sum is σ = 64945782720000. Its totient is φ = 6698495232000.

The previous prime is 21326289810047. The next prime is 21326289810053. The reversal of 21326289810048 is 84001898262312.

21326289810048 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 628 + 9 + 8 + 1 + 0 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 21326289809976 and 21326289810003.

It is not an unprimeable number, because it can be changed into a prime (21326289810047) 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, 4719247533 + ... + 4719252051.

It is an arithmetic number, because the mean of its divisors is an integer number (169129642500).

Almost surely, 2^{21326289810048} 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 21326289810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32472891360000).

21326289810048 is an abundant number, since it is smaller than the sum of its proper divisors (43619492909952).

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

21326289810048 is a wasteful number, since it uses less digits than its factorization.

21326289810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 21326289810048 in words is "twenty-one trillion, three hundred twenty-six billion, two hundred eighty-nine million, eight hundred ten thousand, forty-eight".