13035585404800 has 1152 divisors, whose sum is σ = 39182035314240. Its totient is φ = 4270302167040.

The previous prime is 13035585404761. The next prime is 13035585404801. The reversal of 13035585404800 is 840458553031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035585404801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83029206322 + ... + 83029206478.

Almost surely, 2^{13035585404800} is an apocalyptic number.

13035585404800 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 13035585404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591017657120).

13035585404800 is an abundant number, since it is smaller than the sum of its proper divisors (26146449909440).

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

13035585404800 is a wasteful number, since it uses less digits than its factorization.

13035585404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 13035585404800 in words is "thirteen trillion, thirty-five billion, five hundred eighty-five million, four hundred four thousand, eight hundred".