13288204160 has 256 divisors, whose sum is σ = 40421376000. Its totient is φ = 4141025280.

The previous prime is 13288204147. The next prime is 13288204177. The reversal of 13288204160 is 6140288231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13288204160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2411969 + ... + 2417471.

It is an arithmetic number, because the mean of its divisors is an integer number (157896000).

Almost surely, 2^13288204160 is an apocalyptic number.

13288204160 is a gapful number since it is divisible by the number (10) 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 13288204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210688000).

13288204160 is an abundant number, since it is smaller than the sum of its proper divisors (27133171840).

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

13288204160 is an equidigital number, since it uses as much as digits as its factorization.

13288204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 13288204160 in words is "thirteen billion, two hundred eighty-eight million, two hundred four thousand, one hundred sixty".