10917008642085 has 256 divisors, whose sum is σ = 23503592448000. Its totient is φ = 4196924928000.

The previous prime is 10917008642077. The next prime is 10917008642119. The reversal of 10917008642085 is 58024680071901.

It is not a de Polignac number, because 10917008642085 - 2³ = 10917008642077 is a prime.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 188751951 + ... + 188809779.

It is an arithmetic number, because the mean of its divisors is an integer number (91810908000).

Almost surely, 2^{10917008642085} is an apocalyptic number.

10917008642085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10917008642085 is an abundant number, since it is smaller than the sum of its proper divisors (12586583805915).

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

10917008642085 is a wasteful number, since it uses less digits than its factorization.

10917008642085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58156.

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 10917008642085 in words is "ten trillion, nine hundred seventeen billion, eight million, six hundred forty-two thousand, eighty-five".