13520751984 has 200 divisors, whose sum is σ = 42220355760. Its totient is φ = 4161411072.

The previous prime is 13520751953. The next prime is 13520751989. The reversal of 13520751984 is 48915702531.

13520751984 is a `hidden beast` number, since 1 + 3 + 52 + 0 + 7 + 519 + 84 = 666.

13520751984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520751989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1161907 + ... + 1173485.

Almost surely, 2^13520751984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520751984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21110177880).

13520751984 is an abundant number, since it is smaller than the sum of its proper divisors (28699603776).

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

13520751984 is a wasteful number, since it uses less digits than its factorization.

13520751984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13520751984 in words is "thirteen billion, five hundred twenty million, seven hundred fifty-one thousand, nine hundred eighty-four".