126503725656 has 384 divisors, whose sum is σ = 421650432000. Its totient is φ = 30871653120.

The previous prime is 126503725631. The next prime is 126503725669. The reversal of 126503725656 is 656527305621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49050175 + ... + 49052753.

It is an arithmetic number, because the mean of its divisors is an integer number (1098048000).

Almost surely, 2^126503725656 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 126503725656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210825216000).

126503725656 is an abundant number, since it is smaller than the sum of its proper divisors (295146706344).

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

126503725656 is a wasteful number, since it uses less digits than its factorization.

126503725656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 126503725656 in words is "one hundred twenty-six billion, five hundred three million, seven hundred twenty-five thousand, six hundred fifty-six".