127180800000 has 816 divisors, whose sum is σ = 491484792960. Its totient is φ = 32440320000.

The previous prime is 127180799917. The next prime is 127180800001. The reversal of 127180800000 is 8081721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (127180800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529599989 + ... + 5529600011.

Almost surely, 2^127180800000 is an apocalyptic number.

127180800000 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 127180800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245742396480).

127180800000 is an abundant number, since it is smaller than the sum of its proper divisors (364303992960).

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

127180800000 is an frugal number, since it uses more digits than its factorization.

127180800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 127180800000 its reverse (8081721), we get a palindrome (127188881721).

The spelling of 127180800000 in words is "one hundred twenty-seven billion, one hundred eighty million, eight hundred thousand".