13396741657200 has 540 divisors, whose sum is σ = 51164494828720. Its totient is φ = 3243661977600.

The previous prime is 13396741657193. The next prime is 13396741657331. The reversal of 13396741657200 is 275614769331.

13396741657200 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 67 + 4 + 1 + 6 + 572 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 358480116 + ... + 358517484.

Almost surely, 2^{13396741657200} is an apocalyptic number.

13396741657200 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 13396741657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25582247414360).

13396741657200 is an abundant number, since it is smaller than the sum of its proper divisors (37767753171520).

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

13396741657200 is a wasteful number, since it uses less digits than its factorization.

13396741657200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38238 (or 38213 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 13396741657200 in words is "thirteen trillion, three hundred ninety-six billion, seven hundred forty-one million, six hundred fifty-seven thousand, two hundred".