13681193760 has 384 divisors, whose sum is σ = 52454304000. Its totient is φ = 3309797376.

The previous prime is 13681193731. The next prime is 13681193777. The reversal of 13681193760 is 6739118631.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3311376 + ... + 3315504.

It is an arithmetic number, because the mean of its divisors is an integer number (136599750).

Almost surely, 2^13681193760 is an apocalyptic number.

13681193760 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 13681193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26227152000).

13681193760 is an abundant number, since it is smaller than the sum of its proper divisors (38773110240).

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

13681193760 is a wasteful number, since it uses less digits than its factorization.

13681193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13681193760 in words is "thirteen billion, six hundred eighty-one million, one hundred ninety-three thousand, seven hundred sixty".