13485753696000 has 576 divisors, whose sum is σ = 45503252436096. Its totient is φ = 3539386368000.

The previous prime is 13485753695959. The next prime is 13485753696007. The reversal of 13485753696000 is 69635758431.

13485753696000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13485753696007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3791326222 + ... + 3791329778.

It is an arithmetic number, because the mean of its divisors is an integer number (78998702146).

Almost surely, 2^{13485753696000} is an apocalyptic number.

13485753696000 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 13485753696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22751626218048).

13485753696000 is an abundant number, since it is smaller than the sum of its proper divisors (32017498740096).

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

13485753696000 is an equidigital number, since it uses as much as digits as its factorization.

13485753696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 13485753696000 in words is "thirteen trillion, four hundred eighty-five billion, seven hundred fifty-three million, six hundred ninety-six thousand".