10766233020 has 96 divisors (see below), whose sum is σ = 30480690240. Its totient is φ = 2839173120.

The previous prime is 10766233019. The next prime is 10766233031. The reversal of 10766233020 is 2033266701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4269360 + ... + 4271880.

It is an arithmetic number, because the mean of its divisors is an integer number (317507190).

Almost surely, 2^10766233020 is an apocalyptic number.

10766233020 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 10766233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240345120).

10766233020 is an abundant number, since it is smaller than the sum of its proper divisors (19714457220).

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

10766233020 is a wasteful number, since it uses less digits than its factorization.

10766233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 10766233020 its reverse (2033266701), we get a palindrome (12799499721).

The spelling of 10766233020 in words is "ten billion, seven hundred sixty-six million, two hundred thirty-three thousand, twenty".