13469486728800 has 288 divisors, whose sum is σ = 44243774467200. Its totient is φ = 3559062528000.

The previous prime is 13469486728787. The next prime is 13469486728811. The reversal of 13469486728800 is 882768496431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749507351 + ... + 1749515049.

It is an arithmetic number, because the mean of its divisors is an integer number (153624216900).

Almost surely, 2^{13469486728800} is an apocalyptic number.

13469486728800 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 13469486728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121887233600).

13469486728800 is an abundant number, since it is smaller than the sum of its proper divisors (30774287738400).

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

13469486728800 is a wasteful number, since it uses less digits than its factorization.

13469486728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14286 (or 14273 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 13469486728800 in words is "thirteen trillion, four hundred sixty-nine billion, four hundred eighty-six million, seven hundred twenty-eight thousand, eight hundred".