6126685056000 has 264 divisors, whose sum is σ = 22077960488064. Its totient is φ = 1633782374400.

The previous prime is 6126685055957. The next prime is 6126685056001. The reversal of 6126685056000 is 6505866216.

It is a happy number.

6126685056000 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 6 + 85 + 0 + 560 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6126685056001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1507152 + ... + 3811151.

Almost surely, 2^{6126685056000} is an apocalyptic number.

6126685056000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6126685056000 is an abundant number, since it is smaller than the sum of its proper divisors (15951275432064).

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

6126685056000 is a wasteful number, since it uses less digits than its factorization.

6126685056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318344 (or 5318313 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6126685056000 in words is "six trillion, one hundred twenty-six billion, six hundred eighty-five million, fifty-six thousand".