13197528288 has 432 divisors, whose sum is σ = 47683883520. Its totient is φ = 3570303744.

The previous prime is 13197528287. The next prime is 13197528299. The reversal of 13197528288 is 88282579131.

13197528288 is a `hidden beast` number, since 1 + 3 + 1 + 97 + 528 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13197528283) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7238545 + ... + 7240367.

It is an arithmetic number, because the mean of its divisors is an integer number (110379360).

Almost surely, 2^13197528288 is an apocalyptic number.

13197528288 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 13197528288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

13197528288 is an abundant number, since it is smaller than the sum of its proper divisors (34486355232).

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

13197528288 is a wasteful number, since it uses less digits than its factorization.

13197528288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1854 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 13197528288 in words is "thirteen billion, one hundred ninety-seven million, five hundred twenty-eight thousand, two hundred eighty-eight".