20117510607750 has 256 divisors, whose sum is σ = 52704159805440. Its totient is φ = 5101367040000.

The previous prime is 20117510607739. The next prime is 20117510607767. The reversal of 20117510607750 is 5770601571102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2623220916 + ... + 2623228584.

It is an arithmetic number, because the mean of its divisors is an integer number (205875624240).

Almost surely, 2^{20117510607750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20117510607750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352079902720).

20117510607750 is an abundant number, since it is smaller than the sum of its proper divisors (32586649197690).

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

20117510607750 is a wasteful number, since it uses less digits than its factorization.

20117510607750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8584 (or 8574 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

It can be divided in two parts, 201175 and 10607750, that added together give a triangular number (10808925 = T₄₆₄₉).

The spelling of 20117510607750 in words is "twenty trillion, one hundred seventeen billion, five hundred ten million, six hundred seven thousand, seven hundred fifty".