12775601664000 has 2496 divisors, whose sum is σ = 56191948001280. Its totient is φ = 2804082278400.

The previous prime is 12775601663989. The next prime is 12775601664037. The reversal of 12775601664000 is 46610657721.

12775601664000 is a `hidden beast` number, since 1 + 2 + 77 + 560 + 16 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 241049087974 + ... + 241049088026.

It is an arithmetic number, because the mean of its divisors is an integer number (22512799680).

Almost surely, 2^{12775601664000} is an apocalyptic number.

12775601664000 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 12775601664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28095974000640).

12775601664000 is an abundant number, since it is smaller than the sum of its proper divisors (43416346337280).

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

12775601664000 is an frugal number, since it uses more digits than its factorization.

12775601664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12775601664000 in words is "twelve trillion, seven hundred seventy-five billion, six hundred one million, six hundred sixty-four thousand".