13534105536 has 224 divisors, whose sum is σ = 47865792000. Its totient is φ = 3663304704.

The previous prime is 13534105531. The next prime is 13534105553. The reversal of 13534105536 is 63550143531.

13534105536 is a `hidden beast` number, since 13 + 5 + 3 + 4 + 105 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13534105536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534105531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200380 + ... + 259268.

Almost surely, 2^13534105536 is an apocalyptic number.

13534105536 is a gapful number since it is divisible by the number (16) 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 13534105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932896000).

13534105536 is an abundant number, since it is smaller than the sum of its proper divisors (34331686464).

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

13534105536 is a wasteful number, since it uses less digits than its factorization.

13534105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58936 (or 58920 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13534105536 in words is "thirteen billion, five hundred thirty-four million, one hundred five thousand, five hundred thirty-six".