10009890000 has 300 divisors, whose sum is σ = 38192174592. Its totient is φ = 2426400000.

The previous prime is 10009889963. The next prime is 10009890017. The reversal of 10009890000 is 9890001.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 984945 + ... + 995055.

Almost surely, 2^10009890000 is an apocalyptic number.

10009890000 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 10009890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096087296).

10009890000 is an abundant number, since it is smaller than the sum of its proper divisors (28182284592).

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

10009890000 is a wasteful number, since it uses less digits than its factorization.

10009890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Subtracting from 10009890000 its reverse (9890001), we obtain a palindrome (9999999999).

It can be divided in two parts, 10009 and 890000, that added together give a palindrome (900009).

The spelling of 10009890000 in words is "ten billion, nine million, eight hundred ninety thousand".