127328241600 has 1680 divisors, whose sum is σ = 576225619200. Its totient is φ = 26933575680.

The previous prime is 127328241589. The next prime is 127328241647. The reversal of 127328241600 is 6142823721.

It is a happy number.

127328241600 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 2 + 8 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×127328241600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 1430654356 + ... + 1430654444.

It is an arithmetic number, because the mean of its divisors is an integer number (342991440).

Almost surely, 2^127328241600 is an apocalyptic number.

127328241600 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 127328241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288112809600).

127328241600 is an abundant number, since it is smaller than the sum of its proper divisors (448897377600).

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

127328241600 is a wasteful number, since it uses less digits than its factorization.

127328241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 127328241600 in words is "one hundred twenty-seven billion, three hundred twenty-eight million, two hundred forty-one thousand, six hundred".