13527169084900 has 81 divisors (see below), whose sum is σ = 30687624488073. Its totient is φ = 5175288861600.

The previous prime is 13527169084813. The next prime is 13527169084903. The reversal of 13527169084900 is 948096172531.

It is a happy number.

The square root of 13527169084900 is 3677930.

It is a perfect power (a square), and thus also a powerful number.

13527169084900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4869780870564 + 8657388214336 = 2206758^2 + 2942344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13527169084903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 845915905 + ... + 845931895.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13527169084900 = 27054338169800, but 3⋅13527169084900 = 40581507254700 is not.

Almost surely, 2^{13527169084900} is an apocalyptic number.

13527169084900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13527169084900 is the 3677930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13527169084900

13527169084900 is an abundant number, since it is smaller than the sum of its proper divisors (17160455403173).

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

13527169084900 is an frugal number, since it uses more digits than its factorization.

13527169084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32042 (or 16021 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 13527169084900 in words is "thirteen trillion, five hundred twenty-seven billion, one hundred sixty-nine million, eighty-four thousand, nine hundred".