10883688564 has 96 divisors (see below), whose sum is σ = 29761595136. Its totient is φ = 3031418880.

The previous prime is 10883688551. The next prime is 10883688611. The reversal of 10883688564 is 46588638801.

It is a happy number.

10883688564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 569614 + ... + 588410.

It is an arithmetic number, because the mean of its divisors is an integer number (310016616).

Almost surely, 2^10883688564 is an apocalyptic number.

10883688564 is a gapful number since it is divisible by the number (14) 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 10883688564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880797568).

10883688564 is an abundant number, since it is smaller than the sum of its proper divisors (18877906572).

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

10883688564 is a wasteful number, since it uses less digits than its factorization.

10883688564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18985 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 10883688564 in words is "ten billion, eight hundred eighty-three million, six hundred eighty-eight thousand, five hundred sixty-four".