10983079600 has 120 divisors (see below), whose sum is σ = 27595153440. Its totient is φ = 4192911360.

The previous prime is 10983079589. The next prime is 10983079603. The reversal of 10983079600 is 697038901.

10983079600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10983079603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5307366 + ... + 5309434.

It is an arithmetic number, because the mean of its divisors is an integer number (229959612).

Almost surely, 2^10983079600 is an apocalyptic number.

10983079600 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 10983079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797576720).

10983079600 is an abundant number, since it is smaller than the sum of its proper divisors (16612073840).

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

10983079600 is a wasteful number, since it uses less digits than its factorization.

10983079600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 10983079600 in words is "ten billion, nine hundred eighty-three million, seventy-nine thousand, six hundred".