10009182000 has 80 divisors (see below), whose sum is σ = 32269622112. Its totient is φ = 2669113600.

The previous prime is 10009181981. The next prime is 10009182049. The reversal of 10009182000 is 28190001.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 828099 + ... + 840098.

Almost surely, 2^10009182000 is an apocalyptic number.

10009182000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009182000 is an abundant number, since it is smaller than the sum of its proper divisors (22260440112).

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

10009182000 is a wasteful number, since it uses less digits than its factorization.

10009182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668223 (or 1668207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 10009182000 in words is "ten billion, nine million, one hundred eighty-two thousand".