10802826130000 has 100 divisors (see below), whose sum is σ = 26210739503520. Its totient is φ = 4311875632000.

The previous prime is 10802826129941. The next prime is 10802826130001. The reversal of 10802826130000 is 3162820801.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10802826130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3513381 + ... + 5826619.

Almost surely, 2^{10802826130000} is an apocalyptic number.

10802826130000 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 10802826130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105369751760).

10802826130000 is an abundant number, since it is smaller than the sum of its proper divisors (15407913373520).

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

10802826130000 is an equidigital number, since it uses as much as digits as its factorization.

10802826130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313734 (or 2313713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

Adding to 10802826130000 its reverse (3162820801), we get a palindrome (10805988950801).

The spelling of 10802826130000 in words is "ten trillion, eight hundred two billion, eight hundred twenty-six million, one hundred thirty thousand".