13528130880 has 224 divisors, whose sum is σ = 47044343808. Its totient is φ = 3266406400.

The previous prime is 13528130879. The next prime is 13528130887. The reversal of 13528130880 is 8803182531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528130887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774845 + ... + 2779715.

It is an arithmetic number, because the mean of its divisors is an integer number (210019392).

Almost surely, 2^13528130880 is an apocalyptic number.

13528130880 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 13528130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522171904).

13528130880 is an abundant number, since it is smaller than the sum of its proper divisors (33516212928).

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

13528130880 is a wasteful number, since it uses less digits than its factorization.

13528130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 13528130880 in words is "thirteen billion, five hundred twenty-eight million, one hundred thirty thousand, eight hundred eighty".