10285092000 has 144 divisors (see below), whose sum is σ = 36501919272. Its totient is φ = 2742681600.

The previous prime is 10285091981. The next prime is 10285092001. The reversal of 10285092000 is 29058201.

It can be written as a sum of positive squares in 4 ways, for example, as 529184016 + 9755907984 = 23004^2 + 98772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10285092001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106849 + ... + 178848.

Almost surely, 2^10285092000 is an apocalyptic number.

10285092000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10285092000 is an abundant number, since it is smaller than the sum of its proper divisors (26216827272).

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

10285092000 is a wasteful number, since it uses less digits than its factorization.

10285092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285728 (or 285707 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10285092000 in words is "ten billion, two hundred eighty-five million, ninety-two thousand".