126430457160 has 256 divisors, whose sum is σ = 439607347200. Its totient is φ = 28491098112.

The previous prime is 126430457147. The next prime is 126430457161. The reversal of 126430457160 is 61754034621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126430457161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 39669087 + ... + 39672273.

It is an arithmetic number, because the mean of its divisors is an integer number (1717216200).

Almost surely, 2^126430457160 is an apocalyptic number.

126430457160 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 126430457160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219803673600).

126430457160 is an abundant number, since it is smaller than the sum of its proper divisors (313176890040).

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

126430457160 is a wasteful number, since it uses less digits than its factorization.

126430457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 126430457160 in words is "one hundred twenty-six billion, four hundred thirty million, four hundred fifty-seven thousand, one hundred sixty".