20693105348832 has 384 divisors, whose sum is σ = 71067832012800. Its totient is φ = 5734125416448.

The previous prime is 20693105348803. The next prime is 20693105348833. The reversal of 20693105348832 is 23884350139602.

20693105348832 is a `hidden beast` number, since 2 + 0 + 6 + 93 + 10 + 534 + 8 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20693105348833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69894169 + ... + 70189607.

It is an arithmetic number, because the mean of its divisors is an integer number (185072479200).

Almost surely, 2^{20693105348832} 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 20693105348832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533916006400).

20693105348832 is an abundant number, since it is smaller than the sum of its proper divisors (50374726663968).

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

20693105348832 is a wasteful number, since it uses less digits than its factorization.

20693105348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295815 (or 295801 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 20693105348832 in words is "twenty trillion, six hundred ninety-three billion, one hundred five million, three hundred forty-eight thousand, eight hundred thirty-two".