12919661568 has 352 divisors, whose sum is σ = 43578501120. Its totient is φ = 3742801920.

The previous prime is 12919661561. The next prime is 12919661569. The reversal of 12919661568 is 86516691921.

12919661568 is a `hidden beast` number, since 1 + 2 + 9 + 19 + 6 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12919661561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6994021 + ... + 6995867.

It is an arithmetic number, because the mean of its divisors is an integer number (123802560).

Almost surely, 2^12919661568 is an apocalyptic number.

12919661568 is a gapful number since it is divisible by the number (18) 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 12919661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789250560).

12919661568 is an abundant number, since it is smaller than the sum of its proper divisors (30658839552).

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

12919661568 is a wasteful number, since it uses less digits than its factorization.

12919661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1886 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 12919661568 in words is "twelve billion, nine hundred nineteen million, six hundred sixty-one thousand, five hundred sixty-eight".