126675563968800 has 1728 divisors, whose sum is σ = 589583944212480. Its totient is φ = 25951290624000.

The previous prime is 126675563968769. The next prime is 126675563968801. The reversal of 126675563968800 is 8869365576621.

126675563968800 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 7 + 556 + 3 + 9 + 68 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (126675563968801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 826533777 + ... + 826687023.

It is an arithmetic number, because the mean of its divisors is an integer number (341194412160).

Almost surely, 2^{126675563968800} is an apocalyptic number.

126675563968800 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 126675563968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294791972106240).

126675563968800 is an abundant number, since it is smaller than the sum of its proper divisors (462908380243680).

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

126675563968800 is a wasteful number, since it uses less digits than its factorization.

126675563968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153372 (or 153346 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 126675563968800 in words is "one hundred twenty-six trillion, six hundred seventy-five billion, five hundred sixty-three million, nine hundred sixty-eight thousand, eight hundred".