13545435400 has 96 divisors (see below), whose sum is σ = 36071619840. Its totient is φ = 4633896960.

The previous prime is 13545435383. The next prime is 13545435401. The reversal of 13545435400 is 453454531.

13545435400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13545435401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637752 + ... + 658648.

It is an arithmetic number, because the mean of its divisors is an integer number (375746040).

Almost surely, 2^13545435400 is an apocalyptic number.

13545435400 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 13545435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035809920).

13545435400 is an abundant number, since it is smaller than the sum of its proper divisors (22526184440).

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

13545435400 is a wasteful number, since it uses less digits than its factorization.

13545435400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 13545435400 its reverse (453454531), we get a palindrome (13998889931).

The spelling of 13545435400 in words is "thirteen billion, five hundred forty-five million, four hundred thirty-five thousand, four hundred".