12008715768 has 288 divisors, whose sum is σ = 41116608000. Its totient is φ = 3145080960.

The previous prime is 12008715757. The next prime is 12008715791. The reversal of 12008715768 is 86751780021.

It is a happy number.

12008715768 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 71 + 576 + 8 = 666.

It is a super-2 number, since 2×12008715768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2075103 + ... + 2080881.

It is an arithmetic number, because the mean of its divisors is an integer number (142766000).

Almost surely, 2^12008715768 is an apocalyptic number.

12008715768 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 12008715768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20558304000).

12008715768 is an abundant number, since it is smaller than the sum of its proper divisors (29107892232).

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

12008715768 is a wasteful number, since it uses less digits than its factorization.

12008715768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 12008715768 in words is "twelve billion, eight million, seven hundred fifteen thousand, seven hundred sixty-eight".