13161415680 has 1056 divisors, whose sum is σ = 57126038400. Its totient is φ = 2861236224.

The previous prime is 13161415639. The next prime is 13161415681. The reversal of 13161415680 is 8651416131.

It is a happy number.

13161415680 is a `hidden beast` number, since 1 + 3 + 161 + 415 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13161415681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196439007 + ... + 196439073.

Almost surely, 2^13161415680 is an apocalyptic number.

13161415680 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 13161415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28563019200).

13161415680 is an abundant number, since it is smaller than the sum of its proper divisors (43964622720).

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

13161415680 is a wasteful number, since it uses less digits than its factorization.

13161415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13161415680 in words is "thirteen billion, one hundred sixty-one million, four hundred fifteen thousand, six hundred eighty".