13506869376 has 1152 divisors, whose sum is σ = 56607258240. Its totient is φ = 2990407680.

The previous prime is 13506869371. The next prime is 13506869423. The reversal of 13506869376 is 67396860531.

13506869376 is a `hidden beast` number, since 1 + 3 + 506 + 8 + 69 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (13506869371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254846566 + ... + 254846618.

It is an arithmetic number, because the mean of its divisors is an integer number (49138245).

Almost surely, 2^13506869376 is an apocalyptic number.

13506869376 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 13506869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28303629120).

13506869376 is an abundant number, since it is smaller than the sum of its proper divisors (43100388864).

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

13506869376 is a wasteful number, since it uses less digits than its factorization.

13506869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13506869376 in words is "thirteen billion, five hundred six million, eight hundred sixty-nine thousand, three hundred seventy-six".