126694344960 has 432 divisors, whose sum is σ = 445803758400. Its totient is φ = 33216086016.

The previous prime is 126694344929. The next prime is 126694344971. The reversal of 126694344960 is 69443496621.

126694344960 is a `hidden beast` number, since 1 + 2 + 66 + 94 + 3 + 4 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126694344897 and 126694344906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204675531 + ... + 204676149.

Almost surely, 2^126694344960 is an apocalyptic number.

126694344960 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 126694344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222901879200).

126694344960 is an abundant number, since it is smaller than the sum of its proper divisors (319109413440).

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

126694344960 is a wasteful number, since it uses less digits than its factorization.

126694344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 126694344960 in words is "one hundred twenty-six billion, six hundred ninety-four million, three hundred forty-four thousand, nine hundred sixty".