10089032000000 has 210 divisors, whose sum is σ = 25220083799889. Its totient is φ = 4032019200000.

The previous prime is 10089031999957. The next prime is 10089032000167. The reversal of 10089032000000 is 23098001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 1720462448896 + 8368569551104 = 1311664^2 + 2892848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2246000.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10089032000000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8983999439 + ... + 8984000561.

Almost surely, 2^{10089032000000} is an apocalyptic number.

10089032000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089032000000

10089032000000 is an abundant number, since it is smaller than the sum of its proper divisors (15131051799889).

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

10089032000000 is an frugal number, since it uses more digits than its factorization.

10089032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10089032000000 its reverse (23098001), we get a palindrome (10089055098001).

The spelling of 10089032000000 in words is "ten trillion, eighty-nine billion, thirty-two million", and thus it is an aban number and an uban number.