127113338880 has 1008 divisors, whose sum is σ = 510761126304. Its totient is φ = 30098718720.

The previous prime is 127113338879. The next prime is 127113338887. The reversal of 127113338880 is 88833311721.

127113338880 is a `hidden beast` number, since 127 + 113 + 338 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127113338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2956124139 + ... + 2956124181.

Almost surely, 2^127113338880 is an apocalyptic number.

127113338880 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 127113338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255380563152).

127113338880 is an abundant number, since it is smaller than the sum of its proper divisors (383647787424).

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

127113338880 is an frugal number, since it uses more digits than its factorization.

127113338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 127113338880 in words is "one hundred twenty-seven billion, one hundred thirteen million, three hundred thirty-eight thousand, eight hundred eighty".