127795449600 has 2268 divisors, whose sum is σ = 607936646856. Its totient is φ = 26336378880.

The previous prime is 127795449583. The next prime is 127795449653. The reversal of 127795449600 is 6944597721.

127795449600 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 9 + 544 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×127795449600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 2971987179 + ... + 2971987221.

Almost surely, 2^127795449600 is an apocalyptic number.

127795449600 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 127795449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303968323428).

127795449600 is an abundant number, since it is smaller than the sum of its proper divisors (480141197256).

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

127795449600 is an equidigital number, since it uses as much as digits as its factorization.

127795449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 127795449600 in words is "one hundred twenty-seven billion, seven hundred ninety-five million, four hundred forty-nine thousand, six hundred".