10946260820 has 48 divisors (see below), whose sum is σ = 25325225856. Its totient is φ = 3941040000.

The previous prime is 10946260807. The next prime is 10946260823. The reversal of 10946260820 is 2806264901.

10946260820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10946260823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 224096 + ... + 268535.

It is an arithmetic number, because the mean of its divisors is an integer number (527608872).

Almost surely, 2^10946260820 is an apocalyptic number.

10946260820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10946260820 is an abundant number, since it is smaller than the sum of its proper divisors (14378965036).

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

10946260820 is a wasteful number, since it uses less digits than its factorization.

10946260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492752 (or 492750 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 10946260820 in words is "ten billion, nine hundred forty-six million, two hundred sixty thousand, eight hundred twenty".