13317754060800 has 1260 divisors, whose sum is σ = 57393379327185. Its totient is φ = 3044058071040.

The previous prime is 13317754060759. The next prime is 13317754060801. The reversal of 13317754060800 is 806045771331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ (2!)¹³.

13317754060800 is a `hidden beast` number, since 1 + 3 + 31 + 7 + 7 + 5 + 4 + 0 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13051398979584 + 266355081216 = 3612672^2 + 516096^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2580480.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13317754060801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1902536294397 + ... + 1902536294403.

Almost surely, 2^{13317754060800} is an apocalyptic number.

13317754060800 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 13317754060800

13317754060800 is an abundant number, since it is smaller than the sum of its proper divisors (44075625266385).

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

13317754060800 is an frugal number, since it uses more digits than its factorization.

13317754060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13317754060800 in words is "thirteen trillion, three hundred seventeen billion, seven hundred fifty-four million, sixty thousand, eight hundred".