10032150289000 has 384 divisors, whose sum is σ = 28084672062720. Its totient is φ = 3342015936000.

The previous prime is 10032150288973. The next prime is 10032150289087. The reversal of 10032150289000 is 98205123001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1470339589 + ... + 1470346411.

It is an arithmetic number, because the mean of its divisors is an integer number (73137166830).

Almost surely, 2^{10032150289000} is an apocalyptic number.

10032150289000 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 10032150289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042336031360).

10032150289000 is an abundant number, since it is smaller than the sum of its proper divisors (18052521773720).

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

10032150289000 is a wasteful number, since it uses less digits than its factorization.

10032150289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7706 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 10032150289000 in words is "ten trillion, thirty-two billion, one hundred fifty million, two hundred eighty-nine thousand".