13536875039688 has 2592 divisors, whose sum is σ = 55354283220600. Its totient is φ = 2956014673920.

The previous prime is 13536875039621. The next prime is 13536875039729. The reversal of 13536875039688 is 88693057863531.

13536875039688 is a `hidden beast` number, since 1 + 3 + 5 + 36 + 8 + 7 + 503 + 9 + 6 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7452670681764 + 6084204357924 = 2729958^2 + 2466618^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 58098176020 + ... + 58098176252.

Almost surely, 2^{13536875039688} is an apocalyptic number.

13536875039688 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 13536875039688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27677141610300).

13536875039688 is an abundant number, since it is smaller than the sum of its proper divisors (41817408180912).

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

13536875039688 is a wasteful number, since it uses less digits than its factorization.

13536875039688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 13536875039688 in words is "thirteen trillion, five hundred thirty-six billion, eight hundred seventy-five million, thirty-nine thousand, six hundred eighty-eight".