126386404056 has 640 divisors, whose sum is σ = 418343270400. Its totient is φ = 35565868800.

The previous prime is 126386403973. The next prime is 126386404063. The reversal of 126386404056 is 650404683621.

126386404056 is a `hidden beast` number, since 1 + 2 + 638 + 6 + 4 + 0 + 4 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×126386404056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 775376631 + ... + 775376793.

It is an arithmetic number, because the mean of its divisors is an integer number (653661360).

Almost surely, 2^126386404056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126386404056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209171635200).

126386404056 is an abundant number, since it is smaller than the sum of its proper divisors (291956866344).

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

126386404056 is a wasteful number, since it uses less digits than its factorization.

126386404056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 126386404056 in words is "one hundred twenty-six billion, three hundred eighty-six million, four hundred four thousand, fifty-six".