13286695968 has 288 divisors, whose sum is σ = 47271474432. Its totient is φ = 3446323200.

The previous prime is 13286695963. The next prime is 13286695987. The reversal of 13286695968 is 86959668231.

13286695968 is a `hidden beast` number, since 1 + 32 + 8 + 6 + 6 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13286695963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594533 + ... + 1602843.

It is an arithmetic number, because the mean of its divisors is an integer number (164137064).

Almost surely, 2^13286695968 is an apocalyptic number.

13286695968 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 13286695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635737216).

13286695968 is an abundant number, since it is smaller than the sum of its proper divisors (33984778464).

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

13286695968 is a wasteful number, since it uses less digits than its factorization.

13286695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8397 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 13286695968 in words is "thirteen billion, two hundred eighty-six million, six hundred ninety-five thousand, nine hundred sixty-eight".