10980090000 has 400 divisors, whose sum is σ = 42975493440. Its totient is φ = 2661120000.

The previous prime is 10980089983. The next prime is 10980090001. The reversal of 10980090000 is 9008901.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10980090001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2968152 + ... + 2971848.

Almost surely, 2^10980090000 is an apocalyptic number.

10980090000 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 10980090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487746720).

10980090000 is an abundant number, since it is smaller than the sum of its proper divisors (31995403440).

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

10980090000 is a wasteful number, since it uses less digits than its factorization.

10980090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3718 counting only the distinct ones).

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

Adding to 10980090000 its reverse (9008901), we get a palindrome (10989098901).

The spelling of 10980090000 in words is "ten billion, nine hundred eighty million, ninety thousand".