126343791868320 has 1152 divisors, whose sum is σ = 493731280224000. Its totient is φ = 29145592627200.

The previous prime is 126343791868319. The next prime is 126343791868339. The reversal of 126343791868320 is 23868197343621.

It is a happy number.

126343791868320 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 379 + 186 + 83 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120212931795 + ... + 120212932845.

It is an arithmetic number, because the mean of its divisors is an integer number (428586180750).

Almost surely, 2^{126343791868320} is an apocalyptic number.

126343791868320 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 126343791868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246865640112000).

126343791868320 is an abundant number, since it is smaller than the sum of its proper divisors (367387488355680).

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

126343791868320 is a wasteful number, since it uses less digits than its factorization.

126343791868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 126343791868320 in words is "one hundred twenty-six trillion, three hundred forty-three billion, seven hundred ninety-one million, eight hundred sixty-eight thousand, three hundred twenty".