13528257120 has 648 divisors, whose sum is σ = 55977025104. Its totient is φ = 3080415744.

The previous prime is 13528257107. The next prime is 13528257163. The reversal of 13528257120 is 2175282531.

13528257120 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 82 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 51438109 + ... + 51438371.

It is an arithmetic number, because the mean of its divisors is an integer number (86384298).

Almost surely, 2^13528257120 is an apocalyptic number.

13528257120 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 13528257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27988512552).

13528257120 is an abundant number, since it is smaller than the sum of its proper divisors (42448767984).

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

13528257120 is an frugal number, since it uses more digits than its factorization.

13528257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 13528257120 in words is "thirteen billion, five hundred twenty-eight million, two hundred fifty-seven thousand, one hundred twenty".