10989672960 has 960 divisors, whose sum is σ = 45342633600. Its totient is φ = 2254307328.

The previous prime is 10989672833. The next prime is 10989672961. The reversal of 10989672960 is 6927698901.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 10989672960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10989672961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207352294 + ... + 207352346.

It is an arithmetic number, because the mean of its divisors is an integer number (47231910).

Almost surely, 2^10989672960 is an apocalyptic number.

10989672960 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 10989672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671316800).

10989672960 is an abundant number, since it is smaller than the sum of its proper divisors (34352960640).

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

10989672960 is a wasteful number, since it uses less digits than its factorization.

10989672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 10989672960 in words is "ten billion, nine hundred eighty-nine million, six hundred seventy-two thousand, nine hundred sixty".