126305042688 has 288 divisors, whose sum is σ = 410858716800. Its totient is φ = 38271467520.

The previous prime is 126305042659. The next prime is 126305042737. The reversal of 126305042688 is 886240503621.

126305042688 is a `hidden beast` number, since 1 + 2 + 63 + 0 + 504 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9193008 + ... + 9206736.

Almost surely, 2^126305042688 is an apocalyptic number.

126305042688 is a gapful number since it is divisible by the number (18) 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 126305042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205429358400).

126305042688 is an abundant number, since it is smaller than the sum of its proper divisors (284553674112).

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

126305042688 is an equidigital number, since it uses as much as digits as its factorization.

126305042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13787 (or 13745 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 126305042688 in words is "one hundred twenty-six billion, three hundred five million, forty-two thousand, six hundred eighty-eight".