126970779808704 has 224 divisors, whose sum is σ = 385051648000320. Its totient is φ = 36579299033088.

The previous prime is 126970779808669. The next prime is 126970779808759. The reversal of 126970779808704 is 407808977079621.

It is a super-2 number, since 2×126970779808704² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437212 + ... + 15941540.

It is an arithmetic number, because the mean of its divisors is an integer number (1718980571430).

Almost surely, 2^{126970779808704} 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 126970779808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192525824000160).

126970779808704 is an abundant number, since it is smaller than the sum of its proper divisors (258080868191616).

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

126970779808704 is a wasteful number, since it uses less digits than its factorization.

126970779808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504567 (or 15504557 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 75.

The spelling of 126970779808704 in words is "one hundred twenty-six trillion, nine hundred seventy billion, seven hundred seventy-nine million, eight hundred eight thousand, seven hundred four".