126293573329728 has 448 divisors, whose sum is σ = 396949047705600. Its totient is φ = 35417108127744.

The previous prime is 126293573329727. The next prime is 126293573329739. The reversal of 126293573329728 is 827923375392621.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126293573329727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766415601 + ... + 766580367.

Almost surely, 2^{126293573329728} 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 126293573329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198474523852800).

126293573329728 is an abundant number, since it is smaller than the sum of its proper divisors (270655474375872).

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

126293573329728 is a wasteful number, since it uses less digits than its factorization.

126293573329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165019 (or 164995 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 69.

The spelling of 126293573329728 in words is "one hundred twenty-six trillion, two hundred ninety-three billion, five hundred seventy-three million, three hundred twenty-nine thousand, seven hundred twenty-eight".