1000009890000 has 600 divisors, whose sum is σ = 3839129360352. Its totient is φ = 240900480000.

The previous prime is 1000009889993. The next prime is 1000009890001. The reversal of 1000009890000 is 989000001.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000009890001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 161366902 + ... + 161373098.

Almost surely, 2^{1000009890000} is an apocalyptic number.

1000009890000 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 1000009890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919564680176).

1000009890000 is an abundant number, since it is smaller than the sum of its proper divisors (2839119470352).

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

1000009890000 is a wasteful number, since it uses less digits than its factorization.

1000009890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6381 counting only the distinct ones).

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

The spelling of 1000009890000 in words is "one trillion, nine million, eight hundred ninety thousand".