10890664000 has 112 divisors (see below), whose sum is σ = 27038387376. Its totient is φ = 4345344000.

The previous prime is 10890663997. The next prime is 10890664007. The reversal of 10890664000 is 46609801.

It can be written as a sum of positive squares in 8 ways, for example, as 2757510144 + 8133153856 = 52512^2 + 90184^2 .

It is not an unprimeable number, because it can be changed into a prime (10890664007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3686524 + ... + 3689476.

It is an arithmetic number, because the mean of its divisors is an integer number (241414173).

Almost surely, 2^10890664000 is an apocalyptic number.

10890664000 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 10890664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519193688).

10890664000 is an abundant number, since it is smaller than the sum of its proper divisors (16147723376).

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

10890664000 is an equidigital number, since it uses as much as digits as its factorization.

10890664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 10890664000 in words is "ten billion, eight hundred ninety million, six hundred sixty-four thousand".