20320008128 has 112 divisors (see below), whose sum is σ = 48892846080. Its totient is φ = 8184830976.

The previous prime is 20320008127. The next prime is 20320008143. The reversal of 20320008128 is 82180002302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20320008097 and 20320008106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320008127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071626 + ... + 1090422.

Almost surely, 2^20320008128 is an apocalyptic number.

20320008128 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 20320008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24446423040).

20320008128 is an abundant number, since it is smaller than the sum of its proper divisors (28572837952).

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

20320008128 is a wasteful number, since it uses less digits than its factorization.

20320008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18962 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 20320008128 in words is "twenty billion, three hundred twenty million, eight thousand, one hundred twenty-eight".