10766551744 has 56 divisors (see below), whose sum is σ = 23055326000. Its totient is φ = 4959028224.

The previous prime is 10766551739. The next prime is 10766551853. The reversal of 10766551744 is 44715566701.

It is a junction number, because it is equal to n+sod(n) for n = 10766551694 and 10766551703.

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 7 ways as a sum of consecutive naturals, for example, 402202 + ... + 428134.

It is an arithmetic number, because the mean of its divisors is an integer number (411702250).

Almost surely, 2^10766551744 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 10766551744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527663000).

10766551744 is an abundant number, since it is smaller than the sum of its proper divisors (12288774256).

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

10766551744 is a wasteful number, since it uses less digits than its factorization.

10766551744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26457 (or 26447 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 10766551744 in words is "ten billion, seven hundred sixty-six million, five hundred fifty-one thousand, seven hundred forty-four".