13529825280 has 300 divisors, whose sum is σ = 48529237680. Its totient is φ = 3606183936.

The previous prime is 13529825251. The next prime is 13529825291. The reversal of 13529825280 is 8252892531.

13529825280 is a `hidden beast` number, since 1 + 35 + 2 + 98 + 2 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6634501 + ... + 6636539.

Almost surely, 2^13529825280 is an apocalyptic number.

13529825280 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 13529825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264618840).

13529825280 is an abundant number, since it is smaller than the sum of its proper divisors (34999412400).

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

13529825280 is an frugal number, since it uses more digits than its factorization.

13529825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13529825280 in words is "thirteen billion, five hundred twenty-nine million, eight hundred twenty-five thousand, two hundred eighty".