20507003080128 has 168 divisors, whose sum is σ = 60008503005360. Its totient is φ = 6693658951680.

The previous prime is 20507003080111. The next prime is 20507003080129. The reversal of 20507003080128 is 82108030070502.

20507003080128 is a `hidden beast` number, since 20 + 507 + 0 + 0 + 3 + 0 + 8 + 0 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20507003080092 and 20507003080101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20507003080129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7559898 + ... + 9907878.

It is an arithmetic number, because the mean of its divisors is an integer number (357193470270).

Almost surely, 2^{20507003080128} 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 20507003080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30004251502680).

20507003080128 is an abundant number, since it is smaller than the sum of its proper divisors (39501499925232).

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

20507003080128 is a wasteful number, since it uses less digits than its factorization.

20507003080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348315 (or 2348302 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20507003080128 in words is "twenty trillion, five hundred seven billion, three million, eighty thousand, one hundred twenty-eight".