126179680256000 has 544 divisors, whose sum is σ = 367599822400512. Its totient is φ = 42340240588800.

The previous prime is 126179680255991. The next prime is 126179680256033. The reversal of 126179680256000 is 652086971621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2695144592 + ... + 2695191408.

It is an arithmetic number, because the mean of its divisors is an integer number (675734967648).

Almost surely, 2^{126179680256000} is an apocalyptic number.

126179680256000 is a gapful number since it is divisible by the number (10) 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 126179680256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183799911200256).

126179680256000 is an abundant number, since it is smaller than the sum of its proper divisors (241420142144512).

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

126179680256000 is an frugal number, since it uses more digits than its factorization.

126179680256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46918 (or 46878 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 126179680256000 in words is "one hundred twenty-six trillion, one hundred seventy-nine billion, six hundred eighty million, two hundred fifty-six thousand".