126328246809600 has 2112 divisors, whose sum is σ = 477175456530432. Its totient is φ = 29450295705600.

The previous prime is 126328246809553. The next prime is 126328246809649. The reversal of 126328246809600 is 6908642823621.

It is a tau number, because it is divible by the number of its divisors (2112).

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, 480335539069 + ... + 480335539331.

It is an arithmetic number, because the mean of its divisors is an integer number (225935348736).

Almost surely, 2^{126328246809600} is an apocalyptic number.

126328246809600 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 126328246809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238587728265216).

126328246809600 is an abundant number, since it is smaller than the sum of its proper divisors (350847209720832).

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

126328246809600 is a wasteful number, since it uses less digits than its factorization.

126328246809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 126328246809600 in words is "one hundred twenty-six trillion, three hundred twenty-eight billion, two hundred forty-six million, eight hundred nine thousand, six hundred".