13086483768 has 80 divisors (see below), whose sum is σ = 36790020960. Its totient is φ = 4346006400.

The previous prime is 13086483749. The next prime is 13086483779. The reversal of 13086483768 is 86738468031.

13086483768 is a `hidden beast` number, since 13 + 0 + 86 + 483 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138348 + ... + 212868.

It is an arithmetic number, because the mean of its divisors is an integer number (459875262).

Almost surely, 2^13086483768 is an apocalyptic number.

13086483768 is a gapful number since it is divisible by the number (18) 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 13086483768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395010480).

13086483768 is an abundant number, since it is smaller than the sum of its proper divisors (23703537192).

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

13086483768 is a wasteful number, since it uses less digits than its factorization.

13086483768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74810 (or 74797 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13086483768 in words is "thirteen billion, eighty-six million, four hundred eighty-three thousand, seven hundred sixty-eight".