13529018880 has 480 divisors, whose sum is σ = 53447297904. Its totient is φ = 3133145088.

The previous prime is 13529018879. The next prime is 13529018891. The reversal of 13529018880 is 8881092531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6204397824 + 7324621056 = 78768^2 + 85584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5090512 + ... + 5093168.

Almost surely, 2^13529018880 is an apocalyptic number.

13529018880 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 13529018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26723648952).

13529018880 is an abundant number, since it is smaller than the sum of its proper divisors (39918279024).

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

13529018880 is a wasteful number, since it uses less digits than its factorization.

13529018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13529018880 in words is "thirteen billion, five hundred twenty-nine million, eighteen thousand, eight hundred eighty".