20671828128 has 384 divisors, whose sum is σ = 72401817600. Its totient is φ = 5610249216.

The previous prime is 20671828123. The next prime is 20671828159. The reversal of 20671828128 is 82182817602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20671828123) 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, 24064563 + ... + 24065421.

It is an arithmetic number, because the mean of its divisors is an integer number (188546400).

Almost surely, 2^20671828128 is an apocalyptic number.

20671828128 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 20671828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200908800).

20671828128 is an abundant number, since it is smaller than the sum of its proper divisors (51729989472).

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

20671828128 is a wasteful number, since it uses less digits than its factorization.

20671828128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 20671828128 in words is "twenty billion, six hundred seventy-one million, eight hundred twenty-eight thousand, one hundred twenty-eight".