13275086976 has 128 divisors (see below), whose sum is σ = 39732508800. Its totient is φ = 4362624000.

The previous prime is 13275086959. The next prime is 13275086977. The reversal of 13275086976 is 67968057231.

13275086976 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 508 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13275086977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218326 + ... + 272426.

It is an arithmetic number, because the mean of its divisors is an integer number (310410225).

Almost surely, 2^13275086976 is an apocalyptic number.

13275086976 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 13275086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866254400).

13275086976 is an abundant number, since it is smaller than the sum of its proper divisors (26457421824).

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

13275086976 is an equidigital number, since it uses as much as digits as its factorization.

13275086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54195 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13275086976 in words is "thirteen billion, two hundred seventy-five million, eighty-six thousand, nine hundred seventy-six".