10117077168 has 240 divisors, whose sum is σ = 30056076288. Its totient is φ = 2926809600.

The previous prime is 10117077151. The next prime is 10117077169. The reversal of 10117077168 is 86177071101.

It is not an unprimeable number, because it can be changed into a prime (10117077169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14943646 + ... + 14944322.

Almost surely, 2^10117077168 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 10117077168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028038144).

10117077168 is an abundant number, since it is smaller than the sum of its proper divisors (19938999120).

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

10117077168 is a wasteful number, since it uses less digits than its factorization.

10117077168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 39.

The spelling of 10117077168 in words is "ten billion, one hundred seventeen million, seventy-seven thousand, one hundred sixty-eight".