12716161920 has 1024 divisors, whose sum is σ = 59222016000. Its totient is φ = 2498273280.

The previous prime is 12716161919. The next prime is 12716161921. The reversal of 12716161920 is 2916161721.

12716161920 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 616 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12716161919) and next prime (12716161921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12716161921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25280389 + ... + 25280891.

It is an arithmetic number, because the mean of its divisors is an integer number (57834000).

Almost surely, 2^12716161920 is an apocalyptic number.

12716161920 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 12716161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008000).

12716161920 is an abundant number, since it is smaller than the sum of its proper divisors (46505854080).

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

12716161920 is a wasteful number, since it uses less digits than its factorization.

12716161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 12716161920 in words is "twelve billion, seven hundred sixteen million, one hundred sixty-one thousand, nine hundred twenty".