126456394680 has 384 divisors, whose sum is σ = 539365132800. Its totient is φ = 24893568000.

The previous prime is 126456394643. The next prime is 126456394693. The reversal of 126456394680 is 86493654621.

126456394680 is a `hidden beast` number, since 1 + 26 + 456 + 3 + 94 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406630 + ... + 646730.

It is an arithmetic number, because the mean of its divisors is an integer number (1404596700).

Almost surely, 2^126456394680 is an apocalyptic number.

126456394680 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 126456394680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269682566400).

126456394680 is an abundant number, since it is smaller than the sum of its proper divisors (412908738120).

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

126456394680 is a wasteful number, since it uses less digits than its factorization.

126456394680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240155 (or 240148 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 126456394680 in words is "one hundred twenty-six billion, four hundred fifty-six million, three hundred ninety-four thousand, six hundred eighty".