10983264768 has 160 divisors (see below), whose sum is σ = 37156014720. Its totient is φ = 3138048000.

The previous prime is 10983264767. The next prime is 10983264793. The reversal of 10983264768 is 86746238901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10983264767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40018 + ... + 153518.

It is an arithmetic number, because the mean of its divisors is an integer number (232225092).

Almost surely, 2^10983264768 is an apocalyptic number.

10983264768 is a gapful number since it is divisible by the number (18) 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 10983264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578007360).

10983264768 is an abundant number, since it is smaller than the sum of its proper divisors (26172749952).

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

10983264768 is an equidigital number, since it uses as much as digits as its factorization.

10983264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113535 (or 113513 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10983264768 in words is "ten billion, nine hundred eighty-three million, two hundred sixty-four thousand, seven hundred sixty-eight".