13118728800 has 144 divisors (see below), whose sum is σ = 44079178752. Its totient is φ = 3385459200.

The previous prime is 13118728789. The next prime is 13118728879. The reversal of 13118728800 is 882781131.

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 23 ways as a sum of consecutive naturals, for example, 13764 + ... + 162563.

It is an arithmetic number, because the mean of its divisors is an integer number (306105408).

Almost surely, 2^13118728800 is an apocalyptic number.

13118728800 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 13118728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039589376).

13118728800 is an abundant number, since it is smaller than the sum of its proper divisors (30960449952).

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

13118728800 is a wasteful number, since it uses less digits than its factorization.

13118728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176381 (or 176368 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 13118728800 in words is "thirteen billion, one hundred eighteen million, seven hundred twenty-eight thousand, eight hundred".