10890000000000 has 1089 divisors, whose sum is σ = 43203893158153. Its totient is φ = 2640000000000.

The previous prime is 10889999999971. The next prime is 10890000000007. The reversal of 10890000000000 is 9801.

The square root of 10890000000000 is 3300000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 62636073984 + 10827363926016 = 250272^2 + 3290496^2 .

It is a tau number, because it is divible by the number of its divisors (1089).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10890000000007) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 989999999995 + ... + 990000000005.

Almost surely, 2^{10890000000000} is an apocalyptic number.

10890000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10890000000000 is the 3300000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890000000000

10890000000000 is an abundant number, since it is smaller than the sum of its proper divisors (32313893158153).

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

10890000000000 is an frugal number, since it uses more digits than its factorization.

10890000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10890000000000 its reverse (9801), we get a palindrome (10890000009801).

The spelling of 10890000000000 in words is "ten trillion, eight hundred ninety billion", and thus it is an aban number.