126728236800 has 1728 divisors, whose sum is σ = 556589376000. Its totient is φ = 28101427200.

The previous prime is 126728236787. The next prime is 126728236801. The reversal of 126728236800 is 8632827621.

126728236800 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 282 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126728236801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4369939186 + ... + 4369939214.

Almost surely, 2^126728236800 is an apocalyptic number.

126728236800 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 126728236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278294688000).

126728236800 is an abundant number, since it is smaller than the sum of its proper divisors (429861139200).

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

126728236800 is a wasteful number, since it uses less digits than its factorization.

126728236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 126728236800 in words is "one hundred twenty-six billion, seven hundred twenty-eight million, two hundred thirty-six thousand, eight hundred".