10086085000 has 40 divisors (see below), whose sum is σ = 23631708870. Its totient is φ = 4034432000.

The previous prime is 10086084977. The next prime is 10086085013. The reversal of 10086085000 is 58068001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 744089284 + 9341995716 = 27278^2 + 96654^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10086085000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10086085000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1003609 + ... + 1013608.

Almost surely, 2^10086085000 is an apocalyptic number.

10086085000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086085000 is an abundant number, since it is smaller than the sum of its proper divisors (13545623870).

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

10086085000 is an equidigital number, since it uses as much as digits as its factorization.

10086085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017243 (or 2017224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 10086085000 in words is "ten billion, eighty-six million, eighty-five thousand".