1089990990000 has 900 divisors, whose sum is σ = 4235645109696. Its totient is φ = 261360000000.

The previous prime is 1089990989963. The next prime is 1089990990029. The reversal of 1089990990000 is 990999801.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 1099889505 + ... + 1099890495.

Almost surely, 2^{1089990990000} is an apocalyptic number.

1089990990000 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 1089990990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117822554848).

1089990990000 is an abundant number, since it is smaller than the sum of its proper divisors (3145654119696).

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

1089990990000 is a wasteful number, since it uses less digits than its factorization.

1089990990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The spelling of 1089990990000 in words is "one trillion, eighty-nine billion, nine hundred ninety million, nine hundred ninety thousand".