126442286530560 has 5760 divisors, whose sum is σ = 636623573483520. Its totient is φ = 23076746035200.

The previous prime is 126442286530559. The next prime is 126442286530621. The reversal of 126442286530560 is 65035682244621.

126442286530560 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 2 + 28 + 6 + 53 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126442286530497 and 126442286530506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 662001500065 + ... + 662001500255.

It is an arithmetic number, because the mean of its divisors is an integer number (110524925952).

Almost surely, 2^{126442286530560} is an apocalyptic number.

126442286530560 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 126442286530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318311786741760).

126442286530560 is an abundant number, since it is smaller than the sum of its proper divisors (510181286952960).

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

126442286530560 is a wasteful number, since it uses less digits than its factorization.

126442286530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 126442286530560 in words is "one hundred twenty-six trillion, four hundred forty-two billion, two hundred eighty-six million, five hundred thirty thousand, five hundred sixty".