12677999005056 has 512 divisors, whose sum is σ = 42633960652800. Its totient is φ = 3242363904000.

The previous prime is 12677999005037. The next prime is 12677999005079. The reversal of 12677999005056 is 65050099977621.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 871272981 + ... + 871287531.

It is an arithmetic number, because the mean of its divisors is an integer number (83269454400).

Almost surely, 2^{12677999005056} is an apocalyptic number.

12677999005056 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 12677999005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316980326400).

12677999005056 is an abundant number, since it is smaller than the sum of its proper divisors (29955961647744).

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

12677999005056 is a wasteful number, since it uses less digits than its factorization.

12677999005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15026 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 66.

The spelling of 12677999005056 in words is "twelve trillion, six hundred seventy-seven billion, nine hundred ninety-nine million, five thousand, fifty-six".