20824389398016 has 560 divisors, whose sum is σ = 63456713979120. Its totient is φ = 6822734561280.

The previous prime is 20824389398003. The next prime is 20824389398051. The reversal of 20824389398016 is 61089398342802.

20824389398016 is a `hidden beast` number, since 2 + 0 + 82 + 438 + 9 + 39 + 80 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9018790270 + ... + 9018792578.

It is an arithmetic number, because the mean of its divisors is an integer number (113315560677).

Almost surely, 2^{20824389398016} 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 20824389398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31728356989560).

20824389398016 is an abundant number, since it is smaller than the sum of its proper divisors (42632324581104).

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

20824389398016 is an frugal number, since it uses more digits than its factorization.

20824389398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 20824389398016 in words is "twenty trillion, eight hundred twenty-four billion, three hundred eighty-nine million, three hundred ninety-eight thousand, sixteen".