20920523944320 has 1024 divisors, whose sum is σ = 99482294016000. Its totient is φ = 4012724551680.

The previous prime is 20920523944279. The next prime is 20920523944321. The reversal of 20920523944320 is 2344932502902.

20920523944320 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 0 + 523 + 94 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920523944321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16692546 + ... + 17902014.

It is an arithmetic number, because the mean of its divisors is an integer number (97150677750).

Almost surely, 2^{20920523944320} is an apocalyptic number.

20920523944320 is a gapful number since it is divisible by the number (20) 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 20920523944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49741147008000).

20920523944320 is an abundant number, since it is smaller than the sum of its proper divisors (78561770071680).

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

20920523944320 is a wasteful number, since it uses less digits than its factorization.

20920523944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209528 (or 1209510 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20920523944320 in words is "twenty trillion, nine hundred twenty billion, five hundred twenty-three million, nine hundred forty-four thousand, three hundred twenty".