20117132526528 has 224 divisors, whose sum is σ = 62056758182400. Its totient is φ = 6378322655232.

The previous prime is 20117132526521. The next prime is 20117132526559. The reversal of 20117132526528 is 82562523171102.

20117132526528 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 71 + 3 + 2 + 52 + 6 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117132526521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5700300 + ... + 8528052.

Almost surely, 2^{20117132526528} 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 20117132526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31028379091200).

20117132526528 is an abundant number, since it is smaller than the sum of its proper divisors (41939625655872).

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

20117132526528 is a wasteful number, since it uses less digits than its factorization.

20117132526528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827976 (or 2827960 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20117132526528 in words is "twenty trillion, one hundred seventeen billion, one hundred thirty-two million, five hundred twenty-six thousand, five hundred twenty-eight".