20820216314304 has 504 divisors, whose sum is σ = 68140030394800. Its totient is φ = 6298515210240.

The previous prime is 20820216314269. The next prime is 20820216314321. The reversal of 20820216314304 is 40341361202802.

20820216314304 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 0 + 216 + 3 + 1 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153529472 + ... + 1153547520.

Almost surely, 2^{20820216314304} is an apocalyptic number.

20820216314304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20820216314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070015197400).

20820216314304 is an abundant number, since it is smaller than the sum of its proper divisors (47319814080496).

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

20820216314304 is a wasteful number, since it uses less digits than its factorization.

20820216314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18711 (or 18678 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20820216314304 in words is "twenty trillion, eight hundred twenty billion, two hundred sixteen million, three hundred fourteen thousand, three hundred four".