12823549088900 has 288 divisors, whose sum is σ = 30902510112768. Its totient is φ = 4580213299200.

The previous prime is 12823549088891. The next prime is 12823549088923. The reversal of 12823549088900 is 988094532821.

It is a super-2 number, since 2×12823549088900² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12823549088900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9380796017 + ... + 9380797383.

It is an arithmetic number, because the mean of its divisors is an integer number (107300382336).

Almost surely, 2^{12823549088900} is an apocalyptic number.

12823549088900 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 12823549088900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451255056384).

12823549088900 is an abundant number, since it is smaller than the sum of its proper divisors (18078961023868).

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

12823549088900 is a wasteful number, since it uses less digits than its factorization.

12823549088900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 12823549088900 in words is "twelve trillion, eight hundred twenty-three billion, five hundred forty-nine million, eighty-eight thousand, nine hundred".