13288410288 has 280 divisors, whose sum is σ = 40666105536. Its totient is φ = 4199040000.

The previous prime is 13288410283. The next prime is 13288410293. The reversal of 13288410288 is 88201488231.

It is a happy number.

13288410288 is a `hidden beast` number, since 1 + 328 + 8 + 41 + 0 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (13288410283) and next prime (13288410293).

It is not an unprimeable number, because it can be changed into a prime (13288410283) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17693913 + ... + 17694663.

Almost surely, 2^13288410288 is an apocalyptic number.

13288410288 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 13288410288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333052768).

13288410288 is an abundant number, since it is smaller than the sum of its proper divisors (27377695248).

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

13288410288 is an equidigital number, since it uses as much as digits as its factorization.

13288410288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 13288410288 in words is "thirteen billion, two hundred eighty-eight million, four hundred ten thousand, two hundred eighty-eight".