13535421153040 has 80 divisors (see below), whose sum is σ = 31751613860400. Its totient is φ = 5365703540736.

The previous prime is 13535421152999. The next prime is 13535421153043. The reversal of 13535421153040 is 4035112453531.

It can be written as a sum of positive squares in 8 ways, for example, as 921899544336 + 12613521608704 = 960156^2 + 3551552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13535421153043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94206376 + ... + 94349944.

It is an arithmetic number, because the mean of its divisors is an integer number (396895173255).

Almost surely, 2^{13535421153040} is an apocalyptic number.

13535421153040 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 13535421153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875806930200).

13535421153040 is an abundant number, since it is smaller than the sum of its proper divisors (18216192707360).

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

13535421153040 is a wasteful number, since it uses less digits than its factorization.

13535421153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154124 (or 154118 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 13535421153040 in words is "thirteen trillion, five hundred thirty-five billion, four hundred twenty-one million, one hundred fifty-three thousand, forty".