13504056945210 has 320 divisors, whose sum is σ = 39667929507360. Its totient is φ = 3276460523520.

The previous prime is 13504056945179. The next prime is 13504056945217. The reversal of 13504056945210 is 1254965040531.

It is a happy number.

13504056945210 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 40 + 569 + 45 + 2 + 1 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 952972297209 + 12551084648001 = 976203^2 + 3542751^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13504056945217) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221489130 + ... + 221550090.

Almost surely, 2^{13504056945210} is an apocalyptic number.

13504056945210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13504056945210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833964753680).

13504056945210 is an abundant number, since it is smaller than the sum of its proper divisors (26163872562150).

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

13504056945210 is a wasteful number, since it uses less digits than its factorization.

13504056945210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61295 (or 61286 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13504056945210 in words is "thirteen trillion, five hundred four billion, fifty-six million, nine hundred forty-five thousand, two hundred ten".