13685760000 has 840 divisors, whose sum is σ = 55889097264. Its totient is φ = 3317760000.

The previous prime is 13685759957. The next prime is 13685760013. The reversal of 13685760000 is 6758631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1244159995 + ... + 1244160005.

Almost surely, 2^13685760000 is an apocalyptic number.

13685760000 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 13685760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944548632).

13685760000 is an abundant number, since it is smaller than the sum of its proper divisors (42203337264).

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

13685760000 is an frugal number, since it uses more digits than its factorization.

13685760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13685760000 in words is "thirteen billion, six hundred eighty-five million, seven hundred sixty thousand".