126868711109952 has 448 divisors, whose sum is σ = 402539655168000. Its totient is φ = 34479253518336.

The previous prime is 126868711109771. The next prime is 126868711110017. The reversal of 126868711109952 is 259901117868621.

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

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, 4365285373 + ... + 4365314435.

It is an arithmetic number, because the mean of its divisors is an integer number (898526016000).

Almost surely, 2^{126868711109952} is an apocalyptic number.

126868711109952 is a gapful number since it is divisible by the number (12) 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 126868711109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201269827584000).

126868711109952 is an abundant number, since it is smaller than the sum of its proper divisors (275670944058048).

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

126868711109952 is a wasteful number, since it uses less digits than its factorization.

126868711109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29890 (or 29880 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 66.

The spelling of 126868711109952 in words is "one hundred twenty-six trillion, eight hundred sixty-eight billion, seven hundred eleven million, one hundred nine thousand, nine hundred fifty-two".