20627830128 has 80 divisors (see below), whose sum is σ = 54641002752. Its totient is φ = 6701760000.

The previous prime is 20627830127. The next prime is 20627830129. The reversal of 20627830128 is 82103872602.

It is an interprime number because it is at equal distance from previous prime (20627830127) and next prime (20627830129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627830127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2300053 + ... + 2309003.

Almost surely, 2^20627830128 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 20627830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320501376).

20627830128 is an abundant number, since it is smaller than the sum of its proper divisors (34013172624).

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

20627830128 is a wasteful number, since it uses less digits than its factorization.

20627830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10174 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 20627830128 in words is "twenty billion, six hundred twenty-seven million, eight hundred thirty thousand, one hundred twenty-eight".