13161640654140 has 192 divisors, whose sum is σ = 40760260853760. Its totient is φ = 3146764320000.

The previous prime is 13161640654117. The next prime is 13161640654147. The reversal of 13161640654140 is 4145604616131.

It is a junction number, because it is equal to n+sod(n) for n = 13161640654092 and 13161640654101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161640654147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13377685 + ... + 14327795.

It is an arithmetic number, because the mean of its divisors is an integer number (212293025280).

Almost surely, 2^{13161640654140} is an apocalyptic number.

13161640654140 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 13161640654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20380130426880).

13161640654140 is an abundant number, since it is smaller than the sum of its proper divisors (27598620199620).

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

13161640654140 is a wasteful number, since it uses less digits than its factorization.

13161640654140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950424 (or 950422 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 13161640654140 in words is "thirteen trillion, one hundred sixty-one billion, six hundred forty million, six hundred fifty-four thousand, one hundred forty".