126968725425984 has 448 divisors, whose sum is σ = 368801460308736. Its totient is φ = 38317080969216.

The previous prime is 126968725425979. The next prime is 126968725426001. The reversal of 126968725425984 is 489524527869621.

It is a super-3 number, since 3×126968725425984³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36728006784 + ... + 36728010240.

It is an arithmetic number, because the mean of its divisors is an integer number (823217545332).

Almost surely, 2^{126968725425984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126968725425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184400730154368).

126968725425984 is an abundant number, since it is smaller than the sum of its proper divisors (241832734882752).

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

126968725425984 is a wasteful number, since it uses less digits than its factorization.

126968725425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4912 counting only the distinct ones).

The product of its digits is 4180377600, while the sum is 78.

The spelling of 126968725425984 in words is "one hundred twenty-six trillion, nine hundred sixty-eight billion, seven hundred twenty-five million, four hundred twenty-five thousand, nine hundred eighty-four".