126589281280000 has 1120 divisors, whose sum is σ = 402524333481600. Its totient is φ = 39450378240000.

The previous prime is 126589281279991. The next prime is 126589281280003. The reversal of 126589281280000 is 82182985621.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×126589281280000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126589281280000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126589281280003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 19317756724 + ... + 19317763276.

Almost surely, 2^{126589281280000} is an apocalyptic number.

126589281280000 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 126589281280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201262166740800).

126589281280000 is an abundant number, since it is smaller than the sum of its proper divisors (275935052201600).

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

126589281280000 is an frugal number, since it uses more digits than its factorization.

126589281280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 126589281280000 in words is "one hundred twenty-six trillion, five hundred eighty-nine billion, two hundred eighty-one million, two hundred eighty thousand".