13123468800 has 960 divisors, whose sum is σ = 54556508160. Its totient is φ = 3065610240.

The previous prime is 13123468763. The next prime is 13123468811. The reversal of 13123468800 is 886432131.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 103334337 + ... + 103334463.

It is an arithmetic number, because the mean of its divisors is an integer number (56829696).

Almost surely, 2^13123468800 is an apocalyptic number.

13123468800 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 13123468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278254080).

13123468800 is an abundant number, since it is smaller than the sum of its proper divisors (41433039360).

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

13123468800 is a wasteful number, since it uses less digits than its factorization.

13123468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13123468800 in words is "thirteen billion, one hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".