10085958007 has 8 divisors (see below), whose sum is σ = 10120817520. Its totient is φ = 10051134720.

The previous prime is 10085957989. The next prime is 10085958013. The reversal of 10085958007 is 70085958001.

10085958007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10085958007 - 2³¹ = 7938474359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085958017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623532 + ... + 639502.

It is an arithmetic number, because the mean of its divisors is an integer number (1265102190).

Almost surely, 2^10085958007 is an apocalyptic number.

10085958007 is a deficient number, since it is larger than the sum of its proper divisors (34859513).

10085958007 is a wasteful number, since it uses less digits than its factorization.

10085958007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113.

The product of its (nonzero) digits is 100800, while the sum is 43.

The spelling of 10085958007 in words is "ten billion, eighty-five million, nine hundred fifty-eight thousand, seven".