13478600685000 has 640 divisors, whose sum is σ = 47240642655360. Its totient is φ = 3174912000000.

The previous prime is 13478600684993. The next prime is 13478600685001. The reversal of 13478600685000 is 58600687431.

It is not an unprimeable number, because it can be changed into a prime (13478600685001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7942604152 + ... + 7942605848.

It is an arithmetic number, because the mean of its divisors is an integer number (73813504149).

Almost surely, 2^{13478600685000} is an apocalyptic number.

13478600685000 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 13478600685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23620321327680).

13478600685000 is an abundant number, since it is smaller than the sum of its proper divisors (33762041970360).

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

13478600685000 is a wasteful number, since it uses less digits than its factorization.

13478600685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 13478600685000 in words is "thirteen trillion, four hundred seventy-eight billion, six hundred million, six hundred eighty-five thousand".