126729127728 has 120 divisors (see below), whose sum is σ = 406139505408. Its totient is φ = 36136192896.

The previous prime is 126729127717. The next prime is 126729127747. The reversal of 126729127728 is 827721927621.

126729127728 is a `hidden beast` number, since 1 + 2 + 67 + 291 + 277 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382051 + ... + 631997.

Almost surely, 2^126729127728 is an apocalyptic number.

126729127728 is a gapful number since it is divisible by the number (18) 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 126729127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203069752704).

126729127728 is an abundant number, since it is smaller than the sum of its proper divisors (279410377680).

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

126729127728 is a wasteful number, since it uses less digits than its factorization.

126729127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250471 (or 250462 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 126729127728 in words is "one hundred twenty-six billion, seven hundred twenty-nine million, one hundred twenty-seven thousand, seven hundred twenty-eight".