10617088716 has 96 divisors (see below), whose sum is σ = 29784473600. Its totient is φ = 3251223360.

The previous prime is 10617088637. The next prime is 10617088747. The reversal of 10617088716 is 61788071601.

It is a happy number.

10617088716 is a `hidden beast` number, since 10 + 617 + 0 + 8 + 8 + 7 + 16 = 666.

It is a super-2 number, since 2×10617088716² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 278325 + ... + 314163.

Almost surely, 2^10617088716 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 10617088716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892236800).

10617088716 is an abundant number, since it is smaller than the sum of its proper divisors (19167384884).

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

10617088716 is a wasteful number, since it uses less digits than its factorization.

10617088716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36076 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10617088716 in words is "ten billion, six hundred seventeen million, eighty-eight thousand, seven hundred sixteen".