126704163294720 has 960 divisors, whose sum is σ = 509697976170240. Its totient is φ = 28747648204800.

The previous prime is 126704163294691. The next prime is 126704163294739. The reversal of 126704163294720 is 27492361407621.

126704163294720 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 0 + 4 + 163 + 2 + 9 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771135775 + ... + 771300065.

It is an arithmetic number, because the mean of its divisors is an integer number (530935391844).

Almost surely, 2^{126704163294720} is an apocalyptic number.

126704163294720 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 126704163294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254848988085120).

126704163294720 is an abundant number, since it is smaller than the sum of its proper divisors (382993812875520).

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

126704163294720 is a wasteful number, since it uses less digits than its factorization.

126704163294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164527 (or 164508 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 126704163294720 in words is "one hundred twenty-six trillion, seven hundred four billion, one hundred sixty-three million, two hundred ninety-four thousand, seven hundred twenty".