13797066700800 has 720 divisors, whose sum is σ = 51608915958600. Its totient is φ = 3642679296000.

The previous prime is 13797066700693. The next prime is 13797066700801. The reversal of 13797066700800 is 800766079731.

13797066700800 is a `hidden beast` number, since 1 + 379 + 70 + 66 + 70 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13797066700801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 418850731 + ... + 418883669.

Almost surely, 2^{13797066700800} is an apocalyptic number.

13797066700800 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 13797066700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804457979300).

13797066700800 is an abundant number, since it is smaller than the sum of its proper divisors (37811849257800).

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

13797066700800 is a wasteful number, since it uses less digits than its factorization.

13797066700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33084 (or 33050 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 13797066700800 in words is "thirteen trillion, seven hundred ninety-seven billion, sixty-six million, seven hundred thousand, eight hundred".