126829883980800 has 10560 divisors, whose sum is σ = 681095657088000. Its totient is φ = 22941912268800.

The previous prime is 126829883980777. The next prime is 126829883980831. The reversal of 126829883980800 is 8089388928621.

It is a happy number.

126829883980800 is a `hidden beast` number, since 1 + 2 + 6 + 82 + 9 + 88 + 398 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2949532185579 + ... + 2949532185621.

It is an arithmetic number, because the mean of its divisors is an integer number (64497694800).

Almost surely, 2^{126829883980800} is an apocalyptic number.

126829883980800 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 126829883980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340547828544000).

126829883980800 is an abundant number, since it is smaller than the sum of its proper divisors (554265773107200).

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

126829883980800 is a wasteful number, since it uses less digits than its factorization.

126829883980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 126829883980800 in words is "one hundred twenty-six trillion, eight hundred twenty-nine billion, eight hundred eighty-three million, nine hundred eighty thousand, eight hundred".