12849716880 has 1200 divisors, whose sum is σ = 61206957504. Its totient is φ = 2455971840.

The previous prime is 12849716879. The next prime is 12849716947. The reversal of 12849716880 is 8861794821.

12849716880 is a `hidden beast` number, since 12 + 8 + 497 + 1 + 68 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45405219 + ... + 45405501.

Almost surely, 2^12849716880 is an apocalyptic number.

12849716880 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 12849716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30603478752).

12849716880 is an abundant number, since it is smaller than the sum of its proper divisors (48357240624).

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

12849716880 is a wasteful number, since it uses less digits than its factorization.

12849716880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12849716880 in words is "twelve billion, eight hundred forty-nine million, seven hundred sixteen thousand, eight hundred eighty".