126768648000 has 224 divisors, whose sum is σ = 419370906240. Its totient is φ = 33741926400.

The previous prime is 126768647987. The next prime is 126768648011. The reversal of 126768648000 is 846867621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13651359 + ... + 13660641.

Almost surely, 2^126768648000 is an apocalyptic number.

126768648000 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 126768648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209685453120).

126768648000 is an abundant number, since it is smaller than the sum of its proper divisors (292602258240).

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

126768648000 is an equidigital number, since it uses as much as digits as its factorization.

126768648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 126768648000 in words is "one hundred twenty-six billion, seven hundred sixty-eight million, six hundred forty-eight thousand".