126394160256 has 1536 divisors, whose sum is σ = 513257472000. Its totient is φ = 28904325120.

The previous prime is 126394160227. The next prime is 126394160257. The reversal of 126394160256 is 652061493621.

126394160256 is a `hidden beast` number, since 1 + 2 + 6 + 39 + 4 + 1 + 602 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (126394160257) by changing a digit.

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, 1420159060 + ... + 1420159148.

It is an arithmetic number, because the mean of its divisors is an integer number (334152000).

Almost surely, 2^126394160256 is an apocalyptic number.

126394160256 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 126394160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256628736000).

126394160256 is an abundant number, since it is smaller than the sum of its proper divisors (386863311744).

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

126394160256 is a wasteful number, since it uses less digits than its factorization.

126394160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126394160256 in words is "one hundred twenty-six billion, three hundred ninety-four million, one hundred sixty thousand, two hundred fifty-six".