12076829856 has 576 divisors, whose sum is σ = 45203558400. Its totient is φ = 2969561088.

The previous prime is 12076829827. The next prime is 12076829879. The reversal of 12076829856 is 65892867021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39338055 + ... + 39338361.

It is an arithmetic number, because the mean of its divisors is an integer number (78478400).

Almost surely, 2^12076829856 is an apocalyptic number.

12076829856 is a gapful number since it is divisible by the number (16) 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 12076829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22601779200).

12076829856 is an abundant number, since it is smaller than the sum of its proper divisors (33126728544).

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

12076829856 is a wasteful number, since it uses less digits than its factorization.

12076829856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12076829856 in words is "twelve billion, seventy-six million, eight hundred twenty-nine thousand, eight hundred fifty-six".