12606886656000 has 4608 divisors, whose sum is σ = 61879151093760. Its totient is φ = 2484338688000.

The previous prime is 12606886655969. The next prime is 12606886656011. The reversal of 12606886656000 is 65668860621.

It is a happy number.

12606886656000 is a `hidden beast` number, since 1 + 26 + 0 + 6 + 8 + 8 + 6 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 96235775935 + ... + 96235776065.

It is an arithmetic number, because the mean of its divisors is an integer number (13428635220).

Almost surely, 2^{12606886656000} is an apocalyptic number.

12606886656000 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 12606886656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30939575546880).

12606886656000 is an abundant number, since it is smaller than the sum of its proper divisors (49272264437760).

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

12606886656000 is a wasteful number, since it uses less digits than its factorization.

12606886656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12606886656000 in words is "twelve trillion, six hundred six billion, eight hundred eighty-six million, six hundred fifty-six thousand".