20506079612928 has 624 divisors, whose sum is σ = 68746593295296. Its totient is φ = 5388372541440.

The previous prime is 20506079612897. The next prime is 20506079612971. The reversal of 20506079612928 is 82921697060502.

20506079612928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2199510475 + ... + 2199519797.

Almost surely, 2^{20506079612928} is an apocalyptic number.

20506079612928 is a gapful number since it is divisible by the number (28) 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 20506079612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34373296647648).

20506079612928 is an abundant number, since it is smaller than the sum of its proper divisors (48240513682368).

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

20506079612928 is a wasteful number, since it uses less digits than its factorization.

20506079612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 20506079612928 in words is "twenty trillion, five hundred six billion, seventy-nine million, six hundred twelve thousand, nine hundred twenty-eight".