10989188672 has 224 divisors, whose sum is σ = 28124603136. Its totient is φ = 4136140800.

The previous prime is 10989188621. The next prime is 10989188687. The reversal of 10989188672 is 27688198901.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27680378 + ... + 27680774.

It is an arithmetic number, because the mean of its divisors is an integer number (125556264).

Almost surely, 2^10989188672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10989188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062301568).

10989188672 is an abundant number, since it is smaller than the sum of its proper divisors (17135414464).

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

10989188672 is a wasteful number, since it uses less digits than its factorization.

10989188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 59.

The spelling of 10989188672 in words is "ten billion, nine hundred eighty-nine million, one hundred eighty-eight thousand, six hundred seventy-two".