13627168240 has 40 divisors (see below), whose sum is σ = 36209334240. Its totient is φ = 4672171776.

The previous prime is 13627168229. The next prime is 13627168241. The reversal of 13627168240 is 4286172631.

13627168240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13627168193 and 13627168202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627168241) 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 7 ways as a sum of consecutive naturals, for example, 12166555 + ... + 12167674.

It is an arithmetic number, because the mean of its divisors is an integer number (905233356).

Almost surely, 2^13627168240 is an apocalyptic number.

13627168240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13627168240 is an abundant number, since it is smaller than the sum of its proper divisors (22582166000).

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

13627168240 is a wasteful number, since it uses less digits than its factorization.

13627168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24334249 (or 24334243 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13627168240 in words is "thirteen billion, six hundred twenty-seven million, one hundred sixty-eight thousand, two hundred forty".