13540433601200 has 360 divisors, whose sum is σ = 37459139128320. Its totient is φ = 4663908057600.

The previous prime is 13540433601199. The next prime is 13540433601203. The reversal of 13540433601200 is 210633404531.

It is not an unprimeable number, because it can be changed into a prime (13540433601203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239714561 + ... + 239771039.

Almost surely, 2^{13540433601200} is an apocalyptic number.

13540433601200 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 13540433601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729569564160).

13540433601200 is an abundant number, since it is smaller than the sum of its proper divisors (23918705527120).

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

13540433601200 is a wasteful number, since it uses less digits than its factorization.

13540433601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56657 (or 56623 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 13540433601200 in words is "thirteen trillion, five hundred forty billion, four hundred thirty-three million, six hundred one thousand, two hundred".