10766884512 has 96 divisors (see below), whose sum is σ = 28833960960. Its totient is φ = 3516860160.

The previous prime is 10766884501. The next prime is 10766884519. The reversal of 10766884512 is 21548866701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10766884519) 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, 1871913 + ... + 1877655.

It is an arithmetic number, because the mean of its divisors is an integer number (300353760).

Almost surely, 2^10766884512 is an apocalyptic number.

10766884512 is a gapful number since it is divisible by the number (12) 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 10766884512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416980480).

10766884512 is an abundant number, since it is smaller than the sum of its proper divisors (18067076448).

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

10766884512 is a wasteful number, since it uses less digits than its factorization.

10766884512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10766884512 in words is "ten billion, seven hundred sixty-six million, eight hundred eighty-four thousand, five hundred twelve".