126085302706176 has 672 divisors, whose sum is σ = 421105220666208. Its totient is φ = 35926227025920.

The previous prime is 126085302706117. The next prime is 126085302706199. The reversal of 126085302706176 is 671607203580621.

126085302706176 is a `hidden beast` number, since 1 + 2 + 608 + 5 + 3 + 0 + 27 + 0 + 6 + 1 + 7 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 17054683536 + ... + 17054690928.

Almost surely, 2^{126085302706176} is an apocalyptic number.

126085302706176 is a gapful number since it is divisible by the number (16) 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 126085302706176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210552610333104).

126085302706176 is an abundant number, since it is smaller than the sum of its proper divisors (295019917960032).

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

126085302706176 is a wasteful number, since it uses less digits than its factorization.

126085302706176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 126085302706176 in words is "one hundred twenty-six trillion, eighty-five billion, three hundred two million, seven hundred six thousand, one hundred seventy-six".