126721338295680 has 512 divisors, whose sum is σ = 473146153804800. Its totient is φ = 31989886156800.

The previous prime is 126721338295679. The next prime is 126721338295693. The reversal of 126721338295680 is 86592833127621.

126721338295680 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 1 + 338 + 295 + 6 + 8 + 0 = 666.

126721338295680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×126721338295680⁴ (a number of 58 digits) contains 4444 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36908155 + ... + 40195205.

It is an arithmetic number, because the mean of its divisors is an integer number (924113581650).

Almost surely, 2^{126721338295680} is an apocalyptic number.

126721338295680 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 126721338295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236573076902400).

126721338295680 is an abundant number, since it is smaller than the sum of its proper divisors (346424815509120).

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

126721338295680 is a wasteful number, since it uses less digits than its factorization.

126721338295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287199 (or 3287181 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 126721338295680 in words is "one hundred twenty-six trillion, seven hundred twenty-one billion, three hundred thirty-eight million, two hundred ninety-five thousand, six hundred eighty".